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Trends in Representation Theory of Algebras and Related Topics

Trends in Representation Theory of Algebras and Related Topics
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Title Trends in Representation Theory of Algebras and Related Topics ([EBook] /) / Andrzej Skowroński
Added Personal Name Skowroński, Andrzej
Publication Zuerich, Switzerland : : European Mathematical Society Publishing House, , 2008
Physical Details 1 online resource (722 pages)
Series EMS Series of Congress Reports (ECR) 2523-515X
ISBN 9783037195628
Summary Note This book is concerned with recent trends in the representation theory of algebras and its exciting interaction with geometry, topology, commutative algebra, Lie algebras, quantum groups, homological algebra, invariant theory, combinatorics, model theory and theoretical physics. The collection of articles, written by leading researchers in the field, is conceived as a sort of handbook providing easy access to the present state of knowledge and stimulating further development. The topics under discussion include diagram algebras, Brauer algebras, cellular algebras, quasi-hereditary algebras, Hall algebras, Hecke algebras, symplectic reflection algebras, Cherednik algebras, Kashiwara crystals, Fock spaces, preprojective algebras, cluster algebras, rank varieties, varieties of algebras and modules, moduli of representations of quivers, semi-invariants of quivers, Cohen–Macaulay modules, singularities, coherent sheaves, derived categories, spectral representation theory, Coxeter polynomials, Auslander–Reiten theory, Calabi–Yau triangulated categories, Poincaré duality spaces, selfinjective algebras, periodic algebras, stable module categories, Hochschild cohomologies, deformations of algebras, Galois coverings of algebras, tilting theory, algebras of small homological dimensions, representation types of algebras, model theory. The book consists of fifteen self-contained expository survey articles and is addressed to researchers and graduate students in algebra as well as a broader mathematical community. They contain a large number of open problems and give new perspectives for research in the field.:
Contents note Finite dimensional Hecke algebras /: Semi-invariants of quivers and their zero sets /: Maximal Cohen–Macaulay modules over surface singularities /: Rank varieties /: Periodic algebras /: Preprojective algebras and cluster algebras /: Symplectic reflection algebras /: Auslander–Reiten theory revisited /: Calabi–Yau categories and Poincaré duality /: Representation types of algebras from the model theory point of view /: Calabi–Yau triangulated categories /: A panorama of diagram algebras /: Spectral analysis of finite dimensional algebras and singularities /: Moduli of representations of quivers /: Selfinjective algebras of quasitilted type /:
Mode of acces to digital resource Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site https://doi.org/10.4171/062
See Also https://www.ems-ph.org/img/books/skowronski_mini.jpg
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