BIREP – Representations of finite dimensional algebras at Bielefeld
Prof. Dr. Henning Krause – Publications
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(With D. Benson, S. B. Iyengar, and J. Pevtsova)
Local duality for the singularity category of a finite dimensional Gorenstein algebra,
Nagoya Math. J. (2020),
doi:10.1017/nmj.2020.2.
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(With B. Keller)
Tilting preserves finite global,
C. R. Math. Acad. Sci. Paris 358 (2020), 563–570,
doi:10.5802/crmath.72.
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(With appendices by T. Barthel and B. Keller)
Completing perfect complexes,
Math. Z. 296 (2020), 1387–1427,
doi:10.1007/s00209-020-02490-z.
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(With A. B. Buan, N. Snashall and Ø. Solberg)
Support varieties - an axiomatic approach,
Math. Z. 295 (2020), 395–426,
doi:10.1007/s00209-019-02343-4.
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(With G. Stevenson)
The derived category of the projective line,
in: Spectral Structures and Topological Methods in Mathematics, EMS Publishing House, 2019, 275–297,
doi:10.4171/197-1/12.
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(With B. Baumeister, K.-U. Bux, F. Götze, D. Kielak)
Non-crossing partitions,
in: Spectral Structures and Topological Methods in Mathematics, EMS Publishing House, 2019, 235–274,
doi:10.4171/197-1/11.
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(With D. Benson, S. B. Iyengar, and J. Pevtsova)
Local duality for representations of finite group schemes,
Compos. Math. 155 (2019), 424–453,
doi:10.1112/S0010437X19007061.
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(With P. Balmer and G. Stevenson)
Tensor-triangular fields: ruminations,
Selecta Math. (N.S.) 25 (2019), no. 1, Art. 13, 36 pp,
doi:10.1007/s00029-019-0454-2.
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Auslander-Reiten duality for Grothendieck abelian categories,
Trans. Amer. Math. Soc. 371 (2019), 2455–2472,
doi:10.1090/tran/7379.
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(With P. Balmer and G. Stevenson)
The frame of smashing tensor-ideals,
Math. Proc. Camb. Phil. Soc. (2018),
doi:10.1017/S0305004118000725.
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(With D. Vossieck)
Length categories of infinite height, in:
Geometric and topological aspects of the representation theory of finite groups, Springer Proc. Math. Stat. 242, Springer, Cham, 2018, 213–234,
doi:10.1007/978-3-319-94033-5_8.
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(With D. Benson, S. B. Iyengar, and J. Pevtsova)
Stratification for module categories of finite group schemes,
J. Amer. Math. Soc. 31 (2018), 265–302,
doi:10.1090/jams/887.
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Highest weight categories and recollements,
Ann. Inst. Fourier 67 (2017),
2679–2701,
doi:10.5802/aif.3147.
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(With D. Benson)
The variety of subadditive functions for finite group schemes,
Fund. Math. 239 (2017), 289-296,
doi:10.4064/fm262-1-2017.
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(With D. Benson, S. B. Iyengar and J. Pevtsova)
Stratification and π-cosupport: Finite groups,
Math. Z. 287 (2017), 947–965,
doi:10.1007/s00209-017-1853-8.
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(With K. Großblotekamp)
Linear versus set valued Kronecker representations,
Comm. Algebra 45 (2017), 5103–5110,
doi:10.1080/00927872.2017.1293072.
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(With D. Benson, S. B. Iyengar and J. Pevtsova)
Colocalising subcategories of modules over finite group schemes,
Ann. K-Theory 2 (2017), 387–408,
doi:10.2140/akt.2017.2.387.
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(With an appendix by C. Aquilino)
Highest weight categories and strict polynomial functors,
in: Representation Theory – Current Trends and Perspectives, 331–373, EMS Series of Congress Reports, EMS Publishing House 2017,
doi:10.4171/171-1/13.
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(With A. Hubery)
A categorification of non-crossing partitions,
J. Eur. Math. Soc. 18 (2016), 2273–2313 ,
doi:10.4171/JEMS/641.
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Cohomological length functions,
Nagoya Math. J. 223 (2016), 136–161,
doi:10.1017/nmj.2016.28.
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Morphisms determined by objects and flat covers,
Forum Math. 28 (2016), 425–435,
doi:10.1515/forum-2014-0115.
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Krull–Schmidt categories and projective covers,
Expo. Math. 33 (2015), 535–549,
doi:doi:10.1016/j.exmath.2015.10.001.
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Deriving Auslander's formula,
Documenta Math. 20 (2015), 669–688,
Link.
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(With D. J. Benson and S. B. Iyengar)
A local-global principle for small triangulated categories,
Math. Proc. Camb. Philos. Soc. 158 (2015), 451–476,
doi:10.1017/S0305004115000067.
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The artinian conjecture (following Djament, Putman, Sam, and Snowden),
in: Proceedings of the 47th symposium on ring theory and representation theory (Osaka, 2014), 104–111, Saitama University 2015.
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Polynomial representations of GL(n) and Schur-Weyl duality,
Beitr. Algebra Geom. 56 (2015), 769–773,
doi:10.1007/s13366-015-0237-7.
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(With G. Bobiński)
The Krull-Gabriel dimension of discrete derived categories,
Bull. Sci. Math. 139 (2015), 269–282,
doi:10.1016/j.bulsci.2014.09.001.
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Morphisms determined by objects in triangulated categories,
in: Algebras, quivers and representations, 195–207, Proceedings of the Abel Symposium 2011, Springer Series Abel Symposia 8,
doi:10.1007/978-3-642-39485-0_9.
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(With G. Stevenson)
A note on thick subcategories of stable derived categories,
Nagoya Math. J. 212 (2013), 87–96,
doi:10.1215/00277630-2351125.
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Abelian length categories of strongly unbounded type,
Int. Math. Res. Not. 2014 (2014), 6684–6697,
doi:10.1093/imrn/rnt184.
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Koszul, Ringel, and Serre duality for strict polynomial functors,
Compos. Math. 149 (2013), 996–1018,
doi:10.1112/S0010437X12000814.
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(With S. B. Iyengar)
The Bousfield lattice of a triangulated category and stratification,
Math. Z. 273 (2013), 1215–1241,
doi:10.1007/s00209-012-1051-7.
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(With D. J. Benson and S. B. Iyengar and an appendix by G. Stevenson)
Module categories for group algebras over commutative rings,
J. K-Theory 11 (2013), 297–329,
doi:10.1017/is013001031jkt214.
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(With M. Prest)
The Gabriel-Roiter filtration of the Ziegler spectrum,
Quart. J. Math. 64 (2013), 891–901,
doi:10.1093/qmath/has020.
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(With D. J. Benson and S. B. Iyengar)
Colocalizing subcategories and cosupport,
J. Reine Angew. Math. 673 (2012), 161–207,
doi:10.1515/CRELLE.2011.180.
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Report on locally finite triangulated categories,
J. K-Theory 9 (2012), 421–458,
doi:10.1017/is011011001jkt171.
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Approximations and adjoints in homotopy categories,
Math. Annalen 353 (2012), 765–781,
doi:10.1007/s00208-011-0703-y.
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(With D. J. Benson and S. B. Iyengar)
Stratifying modular representations of finite groups,
Ann. of Math. 174 (2012), 1643–1684,
doi:10.4007/annals.2011.174.3.6.
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(With D. J. Benson and S. B. Iyengar)
Localising subcategories for cochains on the classifying space of a finite group,
C. R. Math. Acad. Sci. Paris 349 (2011), 953–956,
doi:10.1016/j.crma.2011.08.019.
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(With D. J. Benson and S. B. Iyengar)
Module categories for finite group algebras,
in: A. Skowroński and K. Yamagata (eds.), Representations of Algebras and Related Topics, 55–83, EMS Series of Congress Reports, EMS Publ. House, Zürich 2011,
doi:10.4171/101.
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(With D. J. Benson and S. B. Iyengar)
Stratifying triangulated categories,
J. Topology 4 (2011), 641–666,
doi:10.1112/jtopol/jtr017.
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(With X.-W. Chen)
Expansions of abelian categories,
J. Pure Appl. Algebra 215 (2011), 2873–2883,
doi:10.1016/j.jpaa.2011.04.008.
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(With Y. Ye)
On the centre of a triangulated category,
Proc. Edinburgh Math. Soc. 54 (2011), 443–466,
doi:10.1017/S0013091509001199.
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(With J. Stovicek)
The telescope conjecture for hereditary rings via Ext-orthogonal pairs,
Adv. Math. 225 (2010), 2341–2364,
doi:10.1016/j.aim.2010.04.027.
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Localization theory for triangulated categories,
in: T. Holm, P. Jørgensen and R. Rouquier (eds.), Triangulated categories, 161–235, London Math. Soc. Lecture Note Ser. 375, Cambridge Univ. Press, Cambridge 2010.
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(With P. A. Bergh, S. B. Iyengar and S. Oppermann)
Dimensions of triangulated categories via Koszul objects,
Math. Z. 265 (2010), 849–864.
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(With A. Beligiannis)
Thick subcategories and virtually Gorenstein algebras,
Illinois J. Math. 52 (2009), 551–562.
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(With D. Benson and S. B. Iyengar)
Local cohomology and support for triangulated categories,
Ann. Sci. Ecole Norm. Sup. (4) 41 (2008), 573–619.
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(With an appendix by S. B. Iyengar)
Thick subcategories of modules over commutative rings,
Math. Annalen 340 (2008), 733–747.
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(With D. J. Benson)
Complexes of injective kG-modules,
Algebra Number Theory 2 (2008), 1–30.
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An axiomatic characterization of the Gabriel–Roiter measure,
Bull. London Math. Soc. 39 (2007), 550–558.
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(With A. B. Buan and Ø. Solberg)
Support varieties: an ideal approach,
Homology, Homotopy Appl. 9 (2007), 45–74.
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Derived categories, resolutions, and Brown representability,
in: Interactions between homotopy theory and algebra, 101–139, Contemp. Math. 436, Amer. Math. Soc., Providence, RI 2007.
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(With J. Le)
The Auslander–Reiten formula for complexes of modules,
Adv. Math. 207 (2006), 133–148.
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(With D. Kussin)
Rouquier's theorem on representation dimension,
in: Trends in representation theory of algebras and related topics, 95–103, Contemp. Math. 406, Amer. Math. Soc., Providence, RI 2006.
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(With S. B. Iyengar)
Acyclicity versus total acyclicity for complexes over noetherian rings,
Documenta Math. 11 (2006), 207–240.
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Cohomological quotients and smashing localizations,
Amer. J. Math. 127 (2005), 1191–1246.
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Epimorphisms of additive categories up to direct factors,
J. Pure Appl. Algebra 203 (2005), 113–118.
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(With D. J. Benson and S. Schwede)
Introduction to realizability of modules over Tate cohomology,
in: Representations of algebras and related topics, 81–97, Amer. Math. Soc., Providence, RI 2005.
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The stable derived category of a noetherian scheme,
Compos. Math. 141 (2005), 1128–1162.
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Auslander–Reiten triangles and a theorem of Zimmermann,
Bull. London Math. Soc. 37 (2005), 361–372.
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(With D. J. Benson and S. Schwede)
Realizibility of modules over Tate cohomology,
Trans. Amer. Math. Soc. 356 (2004), 3621–3668.
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(With A. B. Buan)
Tilting and cotilting for quivers of type An,
J. Pure Appl. Algebra 190 (2004), 1–21.
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Coherent functors and covariantly finite subcategories,
Algebras and Representation Theory 6 (2003), 475–499.
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(With Ø. Solberg)
Applications of cotorsion pairs,
J. London Math. Soc. 68 (2003), 631–650.
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Uniqueness of uniform decompositions in abelian categories,
J. Pure Appl. Algebra 183 (2003), 125–128.
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(With A. B. Buan)
Cotilting modules over tame hereditary algebras,
Pacific J. Math. 211 (2003), 41–59.
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(With A. Beligiannis)
Realizing maps between modules over Tate cohomology rings,
Beiträge Algebra Geom. 44 (2003), 451–466.
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(With Ø. Solberg)
Filtering modules with finite projective dimension,
Forum Math. 15 (2003), 377–393.
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A short proof for Auslander's defect formula,
Linear Algebra Appl. 365 (2003), 267–270.
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(With C. Geiss)
On the notion of derived tameness,
J. Algebra and Applications 1 (2002), 133–157.
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A duality between complexes of right and left modules,
in: Representations of algebra. Vol. I, 87–97, Beijing Norm. Univ. Press, Beijing 2002.
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Coherent functors in stable homotopy theory,
Fundamenta Math. 173 (2002), 33–56.
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A Brown representability theorem via coherent functors,
Topology 41 (2002), 853–861.
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(With A. B. Buan and Ø. Solberg)
On the lattice of cotilting modules,
AMA Algebra Montp. Announc. 1 (2002), 6pp.
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(With D. J. Benson)
Pure injectives and the spectrum of the cohomology ring of a finite group,
J. reine angew. Math. 542 (2002), 23–51.
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On Neeman's well generated triangulated categories,
Documenta Math. 6 (2001), 119–125.
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Brown representability and flat covers,
J. Pure Appl. Algebra 157 (2001), 81–86.
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(With U. Reichenbach)
Endofiniteness in stable homotopy theory,
Trans. Amer. Math. Soc. 353 (2001), 157–173.
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Auslander–Reiten theory via Brown representability,
K-theory 20 (2000), 331–344.
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(With D. J. Benson)
Generic idempotent modules for a finite group,
Algebras and Representation Theory 3 (2000), 337–346.
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Finite versus infinite dimensional representations—a new definition of tameness,
in: Infinite length modules (Bielefeld, 1998), 393–403, Birkhäuser, Basel 2000.
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(With G. Zwara)
Stable equivalence and generic modules,
Bull. London Math. Soc. 32 (2000), 615–618.
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Smashing subcategories and the telescope conjecture—an algebraic approach,
Invent. Math. 139 (2000), 99–133.
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Decomposing thick subcategories of the stable module category,
Math. Annalen 313 (1999), 95–108.
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(With M. Saorin)
On minimal approximations of modules,
in: Trends in the representation theory of finite-dimensional algebras (Seattle, WA, 1997), 227–236, Contemp. Math. 229, Amer. Math. Soc., Providence, RI, 1998.
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The spectrum of a module category,
Mem. Amer. Math. Soc. 149 (2001), no. 707, x+125 pp.
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Representation type and stable equivalence of Morita type for finite dimensional algebras,
Math. Z. 229 (1998), 601–606.
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Stable equivalence and representation type,
in: Algebras and modules, II (Geiranger, 1996), 387–391, Amer. Math. Soc., Providence, RI, 1998.
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On the nilpotency of the Jacobson radical of a noetherian ring,
Arch. Math. 70 (1998), 435–437.
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Functors on locally finitely presented additive categories,
Colloq. Math. 75 (1998), 105–131.
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Finitistic dimension and Ziegler spectrum,
Proc. Amer. Math. Soc. 126 (1998), 983 -987.
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Exactly definable categories,
J. Algebra 201 (1998), 456–492.
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Generic modules over artin algebras,
Proc. London Math. Soc. 76 (1998), 276–306.
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The spectrum of a locally coherent category,
J. Pure Appl. Algebra 114 (1997), 259–271.
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Stable equivalence preserves representation type,
Comment. Math. Helv. 72 (1997), 266–284.
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Constructing large modules over artin algebras,
J. Algebra 187 (1997), 413–421.
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An axiomatic description of a duality for modules,
Adv. Math. 130 (1997), 280–286.
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Dualizing rings and a characterization of finite representation type,
C. R. Acad. Sci. Paris 332 (1996), 507–510.
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The endocategory of a module,
in: Representation theory of algebras (Cocoyoc, 1994), 419–432, Amer. Math. Soc., Providence, RI, 1996.
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On the Four Terms in the Middle Theorem for almost split sequences,
Arch. Math. 62 (1994), 501–505.
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On the number of almost split sequences with indecomposable middle term,
Bull. London Math. Soc. 26 (1994), 422–426.
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The kernel of an irreducible map,
Proc. Amer. Math. Soc. 121 (1994), 57–66.
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Endomorphisms of words in a quiver,
J. Comb. Th. Ser. A 64 (1993), 216–245.
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A note on infinite string modules,
in: Representations of algebras (Ottawa, ON, 1992), 309–312, Amer. Math. Soc., Providence, RI 1993.
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Endomorphisms of words in a quiver,
in: Séminaire Lotharingien de Combinatoire (Thurnau, 1991), 49–53, Univ. Louis Pasteur, Strasbourg, 1992.
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Maps between tree and band modules,
J. Algebra 137 (1991), 186–194.
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Endomorphismen von Worten in einem Köcher,
Dissertation, Universität Bielefeld (1990).