Representations of Algebras  book cover
1st Edition

Representations of Algebras

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ISBN 9780824707330
Published October 12, 2001 by CRC Press
306 Pages

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Book Description

This volume contains the proceedings of the Conference on Representations of Algebras - Sao Paulo (CRASP), held at the Instituto de Matematica e Estatistica of the Universidade de Sao Paulo, Brazil. It discusses Hopf, tubular, quasischurian, wild hereditary, concealed-canonical Artin, Brauer star, and Koszul algebras.

Table of Contents

Preface -- Contributors -- Invited Talks -- Participants -- 1. On the Existence of Left and Right Almost Split Morphisms -- /Lidia Angeleri-Hiigel -- 2. Actions of Hopf Algebras on Quantum Polynomials -- /Vyacheslav A. Artamonov -- 3. Strongly Simply Connected Derived Tubular Algebras -- /Ibrahim Assem -- 4. H1 and Presentations of Finite Dimensional Algebras -- /Michael J. Bardzell and Eduardo N. Marcos -- 5. Tame Tilted Algebras with Almost Regular Connecting Components -- /Grzegorz Bobinski -- 6. Reflexive Modules Are Not Closed under Submodules -- /Gabriella D ’Este -- 7. Fibre Sum Functors and the Bimodule Ext -- /Peter Draxler -- 8. Smooth Automorphism Group Schemes -- /Daniel R. Farkas, Christof Geiss, and Eduardo N. Marcos -- 9. A Combinatorial Characterization of Hereditary Categories Containing Simple Objects -- /Dieter Happel and Idun Reiten -- 10. Symmetric Quasi-Schurian Algebras -- /Octavio Mendoza Hernandez -- 11 On Lattices at the Ends of Connected Components of the Auslander-Reiten Quiver -- /Alfredo Jones -- 12 Factorisations of Morphisms for Wild Hereditary Algebras -- /Otto Kerner -- 13 A Note on Concealed-Canonical Artin Algebras -- /Dirk Kussin and Zygmunt Pogorzaly -- 14 Koszul Algebras and the Gorenstein Condition -- /Roberto Martinet-Villa -- 15 Some Remarks about the “Double Extension” Algebra of a Finite Poset -- /Teresita Noriega -- 16 Coil Algebras that Are Derived-Tame -- /Jose Antonio de la Pena and Bertha Tome -- 17 One-Point Extensions of Quasitilted Algebras by Modules on Stable Tubes -- /Jose Antonio de la Pena and Sonia E. Trepode -- 18 Combinatorial Partial Tilting Complexes for the Brauer Star Algebras -- /Mary Schaps and Evelyne Zakay-Illouz -- 19 Almost Split Sequences in Categories of Representations of Quivers II -- /Sverre O. Smalo -- 20 Cotilting Objects and Dualities -- /Robert Wisbauer -- 21 Coherent Components of Auslander-Reiten Quivers whose D7r-Orbits Are Finite -- /Hailou Yao -- 22 Twisted Hopf Algebras -- /Pu Zhang and Li-Bin Li.

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"This is the proceedings of the CRASP conference at the University of Sao Paulo. It covers a wide range of topics in representation theory … . It is an excellent source on recent progress in the representation theory of Artin algebras and related areas of mathematics and physics. Researchers and graduate students will benefit from it."
- European Mathematical Society Newsletter, Sept. 2003