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Representations of Finite Dimensional Algebras and Related Topics in Lie Theory and Geometry

About this Title

Vlastimil Dlab, Carleton University, Ottawa, ON, Canada and Claus Michael Ringel, Universität Bielefeld, Bielefeld, Germany, Editors

Publication: Fields Institute Communications
Publication Year: 2004; Volume 40
ISBNs: 978-0-8218-3416-9 (print); 978-1-4704-3074-0 (online)
DOI: https://doi.org/10.1090/fic/040
MathSciNet review: MR2057195
MSC: Primary 00B25; Secondary 14-06, 16-06, 17-06

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Table of Contents

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Front/Back Matter

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Instructional Workshop

• Kenneth Brown – Semigroup and ring theoretical methods in probability
• Thomas Bruestle – Typical examples of tame algebras
• Osamu Iyama – Representation dimension and Solomon zeta function
• Steffen Koenig – Filtrations, stratifications and applications
• Mohan Putcha – Bruhat-Renner decomposition and Hecke algebras of reductive monoids
• Lex Renner – Representations and blocks of algebraic monoids
• Manfred Schocker – The descent algebra of the symmetric group

Specialized Workshop Commutative Algebra, Algebraic Geometry and Representation Theory

• Yuri Berest – A remark on Letzter–Makar-Limanov invariants
• Igor Burban – Derived categories of coherent sheaves on rational singular curves
• Yuriy Drozd – Vector bundles and Cohen-Macaulay modules

Specialized Workshop Finite Dimensional Algebras, Algebraic Groups and Lie Theory

• Jie Du – Finite dimensional algebras, quantum groups and finite groups of Lie type
• Volodymyr Mazorchuk – Stratified algebras arising in Lie theory
• Toshiyuki Tanisaki – Character formulas of Kazhdan-Lusztig type
• Peter Webb – Weight theory in the context of arbitrary finite groups

Specialized Workshop Quantum Groups and Hall Algebras

• Georgia Benkart and Sarah Witherspoon – Restricted two-parameter quantum groups
• Bangming Deng and Jie Xiao – On Ringel-Hall algebras
• Zongzhu Lin – Lusztig’s geometric approach to Hall algebras
• Markus Reineke – The use of geometric and quantum group techniques for wild quivers
• Konstanze Rietsch – An introduction to perverse sheaves
• Yoshihisa Saito – An introduction to canonical bases
• Olivier Schiffmann – Quivers of type $A$, flag varieties and representation theory