Preprints:
- Moduli Spaces of Thin Sincere Representations, Preprint
Chemnitz
1996
- Aktionen algebraischer Gruppen, geometrische Quotienten und
Köcher, Habilitationsschrift, Hamburg 2002, ps-file
- Cluster-Cyclic Quivers with three Vertices and the Markov
Equation, with A. Beineke und T. Bruestle and an appendix by Otto
Kerner, arXiv:math/0612213,
to
appear in Algebras and Representation Theory
- Orbits of parabolic subgroups on metabelian ideals, Simon
M. Goodwin, Lutz
Hille, Gerhard
Röhrle, arXiv:0711.3711,
to
appear in Bulletin des Sciences Mathematiques
Notes:
Publications:
- Consistent Algebras and Special Tilting Sequences, Mathematische
Zeitshrift 220 (1995), 189 - 205.
- Small Homogeneous Vector Bundles, Dissertation Bielefeld
(1994).
- Examples of Distinguished Tilting Sequences on Homogeneous
Varieties, Representation
Theory of Algebras, Seventh International Conference 1994, Cocoyoc,
Mexico,
CMS-AMS Conference Proceedings vol. 18.
- Tilting Line Bundles and Moduli of Thin Sincere Representations
of
Quivers, An. St. Univ. Ovidius Constantza, vol. 4 (1996),
f.
2, 55
- 61
- Toric Quiver Varieties, Canadian Mathematical Society,
Conference
Proceedings,
vol 24, 1998.
- with Gerhard Röhrle: On Parabolic Subgroups of Classical
Groups with a Finite Number
of
Orbits
on the Unipotent Radical, C.
R.
Acad. Sci. Paris, t. 325, s. I (1997), 465 - 470.
- Homogeneous Vector Bundles and Koszul Algebras, Math. Nachr. 191
(1998), 189 - 195.
- Strong Exceptional Sequences Provided by Quivers, with Klaus
Altmann
(Berlin), Algebras and Representation Theory 2 (1999),
1 - 17
- with Gerhard Röhrle: A Classification of Parabolic Subgroups
of Classical Groups with
a
Finite
Number of Orbits on the Unipotent Radical, Transformation
Groups, vol. 4, No. 1
(1999), 35 - 52.
- with Thomas Brüstle: Finite, Tame and Wild Actions of
Parabolic
Subgroups in GL(V) on
Certain
Unipotent Subgroups, J. Algebra 226 (2000), 347 - 360.
- with Thomas Brüstle, Claus Michael Ringel, and Gerhard
Röhrle: The Delta-filtered Modules without Selfextension for the
Auslander
Algebra
of k[t]/T^n, Algebras and
Representation
Theory 2 (1999), 295 - 312.
- with Thomas
Brüstle, Gerhard Röhrle, and Grzegorz Zwara: The
Bruhat-Chevalley Order
of Parabolic Group Actions in General
Linear
Groups and Degeneration for $\Delta$-filtered Modules, Adv.
Math. 148, No. 2, (1999), 203 - 242.
- with Thomas Brüstle: Matrices over Upper Triangular
Bimodules and Delta-filtered
Modules
over
Quasi-hereditary Algebras, Coll.
Math. 83, No. 2 (2000), 295 - 303.
- with Thomas Brüstle: Actions of Parabolic Subgroups in GL_n
on Unipotent Normal
Subgroups
and
Quasi-hereditary Algebras, Coll
. Math. 83, No. 2 (2000), 281 - 294.
- with Jose
Antonio
de la Pena: Distinghuished Slopes for Quiver
Representations, Bol. Soc. Mat. Mexicana (3) 7,
No. 1 (2001), 73 - 83.
- with
Thomas
Brüstle and Gerhard Röhrle: Finiteness for Parabolic Group
Actions in Classical Groups, Arch.
Math. (Basel) 76, No.2 (2001), 81 - 87.
- with Jose Antonio de la Pena: Stable Representations of Quivers, J.
Pure Appl. Algebra 172 (2002), no. 2-3,
205 - 224.
- with Harald Skarke: Reflexive Polytopes in Dimension 2 and
Certain Relations in
$Sl_2(\Zz)$, J. Algebra Appl. 1 (2002),
no.
2, 159 - 173.
- Minimal Infinite Configurations for Strictly Filtered
k[T]/T^n-modules
and Parabolic Group Actions, ps-file,
in "Representations of Algebras", vol. II, Proceedings of ICRA
IX, Beijing.
- Quivers, Cones and Polytopes, Linear Algebra and its
Applications365
(2003), 215 - 237. ps-file
- with Gerhard Röhrle: Variation on a Theme of Richardson, Linear
Algebra and its Applications 365 (2003), 239 - 246. ps-file
- with Dieter Vossieck: The Quasi-hereditary Algebra Associated to
the
Radical Bimodule
over a
Hereditary Algebra, Colloq. Math. 98 (2003), no.
2,
201--211. ps-file
- Exceptional Sequences of Line Bundles on Toric Varieties, Mathematisches
Institut, Georg-August-Universität Göttingen: Seminars
2003/2004,
175--190, Universitätsdrucke Göttingen, Göttingen, 2004.
ps-file
- with Dieter
Vossieck: Partial Flags and Parabolic Group Actions, AMA
Algebra Montp. Announc. 2004, Paper 1, 6 pp. (electronic). ps-file
- Irreducible Components, Nilpotent Classes, and the Auslander
Algebra of
k[T]/T^n, Representations of algebras and related topics, 161--173,
Fields Inst. Commun., 45, Amer. Math. Soc., Providence, RI, 2005. ps-file
- On the Volume of a Tilting Module, ps-file,
Abh. Math. Sem. Univ. Hamburg
76
(2006), 261--277.
- with Markus Perling: A counterexample to
King's
conjecture.
Compos. Math.
142
(2006),
no. 6, 1507--1521, Preprint, math.AG/0602258.
- with Michel Van den Bergh: Fourier-Mukai Transforms, math.AG/0402043, in
"Handbook of Tilting Theory", edited by L. Angelieri-Huegel, D. Happel,
H. Krause, LMS LNS 332.
- with
Simon M. Goodwin: Prehomogeneous
Spaces for Borel Subgroups of General Linear
Groups,
Transform.
Groups
12
(2007),
no. 3, 475--498.
- with Simon M. Goodwin,
Gerhard Roehrle:
The
Orbit Structure of Dynkin Curves, Math.
Z.
257
(2007),
no. 2, 439--451.
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Lutz Hille: Last modified: 09.01.2008