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Frobenius Algebras I: Basic Representation Theory By Andrzej Skowronski, Kunio Yamagata


作者: Frobenius Algebras, Basic Representation Theory, By Andrzej, Kunio Yamagata

日期: 01.01.2011

ISBN: 3037191023

页数: 661

出版社: E./MS. 2012

标签: 数学



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Frobenius Algebras I Basic Representation Theory By Andrzej Skowronski Kunio Yamagata


Frobenius Algebras I: Basic Representation Theory By Andrzej Skowronski, Kunio Yamagata

PUBLISHER: E./MS. 2012 | 661 PAGES | ISBN: 3037191023 | PDF |4.18 MB



This is the first of two volumes which will provide a comprehensive introduction to the modern representation theory of Frobenius algebras. The first part of the book serves as a general introduction to basic results and techniques of the modern representation theory of finite dimensional associative algebras over fields, including the Morita theory of equivalences and dualities and the Auslander-Reiten theory of irreducible morphisms and almost split sequences. The second part is devoted to fundamental classical and recent results concerning the Frobenius algebras and their module categories. Moreover, the prominent classes of Frobenius algebras, the Hecke algebras of Coxeter groups, and the finite dimensional Hopf algebras over fields are exhibited. This volume is self contained and the only prerequisite is a basic knowledge of linear algebra. It includes complete proofs of all results presented and provides a rich supply of examples and exercises. The text is primarily addressed to graduate students starting research in the representation theory of algebras as well as mathematicians working in other fields.



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