Recent developments in representation theory : Maurice Auslander Distinguished Lectures and International Conference, May 1-6, 2014, Woods Hole Oceanographic Institute, Woods Hole, MA
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Bibliographic Information
Recent developments in representation theory : Maurice Auslander Distinguished Lectures and International Conference, May 1-6, 2014, Woods Hole Oceanographic Institute, Woods Hole, MA
（Contemporary mathematics, 673）
American Mathematical Society, c2016
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Includes bibliographical references
Description and Table of Contents
Description
This volume contains selected expository lectures delivered at the Maurice Auslander Distinguished Lectures and International Conference, held May 1-6, 2014, at the Woods Hole Oceanographic Institute, Woods Hole, MA. Several significant developments of the last decade in representation theory of finite-dimensional algebras are related to combinatorics. Three of the five lectures in this volume deal, respectively, with the Catalan combinatorics, the combinatorics of Gelfand-Zetlin polytopes, and the combinatorics of tilting modules. The remaining papers present history and recent advances in the study of left orders in left Artinian rings and a survey on invariant theory of Artin-Schelter regular algebras.
Table of Contents
V. V. Bavula, Orders in Artinian rings, Goldie's Theorem, and the largest left quotient ring of a ring
E. E. Kirkman, Invariant theory of Artin-Schelter regular algebras: a survey
C. M. Ringel, The Catalan combinatorics of the hereditary artin algebras
E. Smirnov, Grassmannians, flag varieties, and Gelfand-Zetlin polytopes
L. Unger, On the combinatorics of the set of tilting modules.
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