BIREP – Representations of finite dimensional algebras at Bielefeld

• BIREP
• Faculty of Mathematics
• Bielefeld University

 

Publications by the BIREP group since 2010

• C. M. Ringel, Iyama's finiteness theorem via strongly quasi-hereditary algebras, Journal of Pure and Applied Algebra 214 (2010), 1687–1692, doi:10.1016/j.jpaa.2009.12.012.
• H. Krause and 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.
• H. Krause, Localization theory for triangulated categories, in: T. Holm, P. Jørgensen and R. Rouquier (eds.), Triangulated categories, London Math. Soc. Lecture Note Ser. 375, Cambridge Univ. Press, Cambridge 2010, 161–235.
• C. M. Ringel, Cluster-concealed algebras, Advances in Mathematics 226 (2011), 1513–1537, doi:10.1016/j.aim.2010.08.014.
• C. M. Ringel, Gabriel–Roiter inclusions and Auslander–Reiten theory, Journal of Algebra 324 (2010), 3579–3590, doi:10.1016/j.jalgebra.2010.09.003.
• X.-W. Chen, Homotopy equivalences induced by balanced pairs, J. Algebra 324 (2010), 2718–2731, doi:10.1016/j.jalgebra.2010.09.002.
• C. Bowman, S. R. Doty and S. Martin, Decomposition of Tensor Products of Modular Irreducible Representations for SL_3 (with an appendix by C. M. Ringel), International Electronic Journal of Algebra 9 (2011), 177–219.
• X.-W. Chen, The stable monomorphism category of a Frobenius category, Math. Res. Lett. 18 (2011), no. 1, 125–137.
• C. M. Ringel, Indecomposables live in all smaller lengths, Bulletin of the London Mathematical Society 43 (2011), 655–660, doi:10.1112/blms/bdq128.
• H. Krause and Y. Ye, On the centre of a triangulated category, Proc. Edinburgh Math. Soc. 54 (2011), 443–466, doi:10.1017/S0013091509001199.
• X.-W. Chen and H. Krause, Expansions of abelian categories, J. Pure Appl. Algebra 215 (2011), 2873–2883, doi:10.1016/j.jpaa.2011.04.008.
• A.-C. van Roosmalen, Abelian Hereditary Fractionally Calabi–Yau Categories, Int. Math. Res. Not. 2012(12) (2012), 2708–2750, doi:10.1093/imrn/rnr118.
• H. Krause, Approximations and adjoints in homotopy categories, Math. Annalen 353 (2012), 765–781, doi:10.1007/s00208-011-0703-y.
• D. J. Benson, S. B. Iyengar and H. Krause, Stratifying triangulated categories, J. Topology 4 (2011), 641–666, doi:10.1112/jtopol/jtr017.
• D. J. Benson, S. B. Iyengar and H. Krause, 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.
• D. J. Benson, S. B. Iyengar and H. Krause, Module categories for finite group algebras, in: A. Skowroński and K. Yamagata (eds.), Representations of Algebras and Related Topics, EMS Series of Congress Reports, EMS Publ. House, Zürich 2011, 55–83, doi:10.4171/101.
• C. M. Ringel, The minimal representation-infinite algebras which are special biserial, in: A. Skowroński and K. Yamagata (eds.), Representations of Algebras and Related Topics, EMS Series of Congress Reports, EMS Publ. House, Zürich 2011, 501–560, doi:10.4171/101.
• H. Krause, Report on locally finite triangulated categories, J. K-Theory 9 (2012), 421–458, doi:10.1017/is011011001jkt171.
• D. Guez and G. Stevenson, Is reasoning in rats really unreasonable? Revisiting recent associative accounts, Frontiers in Psychology 2 (2011), doi:10.3389/fpsyg.2011.00277.
• D. J. Benson, S. B. Iyengar and H. Krause, Stratifying modular representations of finite groups, Ann. of Math. 174 (2012), 1643–1684, doi:10.4007/annals.2011.174.3.6.
• D. J. Benson, S. B. Iyengar and H. Krause, Representations of finite groups: Local cohomology and support, Oberwolfach Seminars 43, Birkhäuser Verlag 2012, 111pp, doi:10.1007/978-3-0348-0260-4.
• C. M. Ringel, On the representation dimension of artin algebras, Bull. Inst. Math. Acad. Sinica 7 (2012), Link.
• Ph. Fahr and C. M. Ringel, Categorification of the Fibonacci Numbers Using Representations of Quivers, Journal of Integer Sequences 15 (2011), article 12.2.1, Reprint.
• D. J. Benson, S. B. Iyengar and H. Krause, Colocalizing subcategories and cosupport, J. Reine Angew. Math. 673 (2012), 161–207, doi:10.1515/CRELLE.2011.180.
• G. Bobinski and A. B. Buan, The algebras derived equivalent to gentle cluster tilted algebras, J. Algebra Appl. 11 (2012), 1250012, doi:10.1142/S021949881100535X.
• C. M. Ringel, Cluster-additive functions on stable translation quivers, J. Algebr. Comb. 36 (2012), 475–500, doi:10.1007/s10801-012-0346-4.
• C. M. Ringel, Minimal infinite cogeneration-closed subcategories, Bull. Sci. Math. 136 (2012), 820–830, doi:10.1016/j.bulsci.2012.03.002.
• C. M. Ringel, Indecomposable representations of the Kronecker quivers, Proc. AMS 141 (2013), 115–121, doi:10.1090/S0002-9939-2012-11296-1.
• Ph. Fahr and C. M. Ringel, The Fibonacci partition triangles, Adv. Math. 230 (2012), 2513–2535, doi:10.1016/j.aim.2012.04.010.
• E. Herscovich, The Dixmier map for nilpotent super Lie algebras, Commun. Math. Phys. 313 (2012), 295–328, doi:10.1007/s00220-012-1505-0.
• S. B. Iyengar and H. Krause, The Bousfield lattice of a triangulated category and stratification, Math. Z., doi:10.1007/s00209-012-1051-7.
• H. Krause and M. Prest, The Gabriel-Roiter filtration of the Ziegler spectrum, Quart. J. Math., doi:10.1093/qmath/has020.
• I. Dell'Ambrogio, The unitary symmetric monoidal model category of small C*-categories, Homology Homotopy Appl. 14(2) (2012), 101–127, Link.
• I. Dell'Ambrogio and G. Stevenson, Even more spectra: tensor triangular comparison maps via graded commutative 2-rings, Appl. Categ. Struct., doi:10.1007/s10485-012-9296-1.
• C. M. Ringel and Bao-Lin Xiong, On radical square zero rings, Algebra and Discrete Mathematics 14 (2012), Link.

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Preprints

• C. Köhler, Thick subcategories of finite algebraic triangulated categories, arXiv:1010.0146.
• Ph. Lampe, Quantum cluster algebras of type A and the dual canonical basis, 46pp, arXiv:1101.0580.
• I. Dell'Ambrogio and G. Tabuada, Tensor triangular geometry of noncommutative motives, arXiv:1104.2761.
• I. Dell'Ambrogio, H. Emerson, T. Kandelaki and R. Meyer, A functorial equivariant K-theory spectrum and an equivariant Lefschetz formula, arXiv:1104.3441.
• I. Dell'Ambrogio, Equivariant Kasparov theory of finite groups via Mackey functors, arXiv:1105.3028.
• I. Dell'Ambrogio and G. Stevenson, On the derived category of a graded noetherian ring, arXiv:1107.4764.
• J. Burke, Finite injective dimension over rings with Noetherian cohomology, arXiv:1109.2814.
• C. Berkesch, J. Burke, D. Erman and C. Gibbons, The cone of Betti diagrams over a hypersurface ring of low embedding dimension, arXiv:1109.5198.
• J. Burke and M. E. Walker, Matrix factorizations over projective schemes, arXiv:1110.2918.
• Y. Jiang, Parametrizations of canonical bases and irreducible components of nilpotent varieties, arXiv:1110.2937.
• H. Krause, Morphisms determined by objects in triangulated categories, to appear in: Algebras, quivers and representations, Proceedings of the Abel Symposium 2011, Springer Series Abel Symposia 8, arXiv:1110.5625.
• H. Krause and G. Stevenson, A note on thick subcategories of stable derived categories, to appear in: Nagoya Math. J., arXiv:1111.2220.
• C. M. Ringel and Pu Zhang, Representations of quivers over the algebra of dual numbers, arXiv:1112.1924.
• C. M. Ringel, Morphisms determined by objects: The case of modules over artin algebras, to appear in: Illinois Journal of Mathematics, arXiv:1110.6734.
• I. Dell'Ambrogio and G. Tabuada, Morita homotopy theory of C*-categories, arXiv:1112.5563.
• H. Krause, Koszul, Ringel, and Serre duality for strict polynomial functors, to appear in: Compos. Math., arXiv:1203.0311.
• C. M. Ringel, The Gorenstein projective modules for the Nakayama algebras, arXiv:1207.4856.
• D. Benson, S. Iyengar and H. Krause, Module categories for group algebras over commutative rings, to appear in: J. K-Theory, arXiv:1208.1291.
• H. Krause, Cohomological length functions, arXiv:1209.0540.
• Ph. Lampe, Acyclic cluster algebras from a ring theoretic point of view, 18pp, arXiv:1210.1502.
• C. M. Ringel, Distinguished bases of exceptional modules, to appear in: Algebras, quivers and representations, Proceedings of the Abel Symposium 2011, Springer Series Abel Symposia 8, arXiv:1210.7457.
• C. M. Ringel and Pu Zhang, From submodule categories to preprojective algebras, arXiv:1211.4858.
• C. M. Ringel, The Auslander bijections: How morphisms are determined by modules, arXiv:1301.1251.
• C. M. Ringel, The representations of a quiver of type A_n. A fast approach..
• H. Krause, Abelian length categories of strongly unbounded type, arXiv:1301.6665.

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• Last file change on 28 Nov 2011 by Andre Beineke
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