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.
| Preface |
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Orders in Artinian rings, Goldie's Theorem and the largest left quotient ring of a ring |
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1 | (24) |
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Invariant theory of Artin-Schelter regular algebras: a survey |
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25 | (26) |
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The Catalan combinatorics of the hereditary artin algebras |
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51 | (128) |
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Grassmannians, flag varieties, and Gelfand-Zetlin polytopes |
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179 | (48) |
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On the combinatorics of the set of tilting modules |
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227 | |
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Alex Martsinkovsky, Northeastern University, Boston, MA, USA.
Gordana Todorov, Northeastern University, Boston, MA, USA.
Kiyoshi Igusa, Brandeis University, Waltham, MA, USA.
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