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Frobenius Algebras I = Basic Represe...

Skowroński, Andrzej,

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Frobenius Algebras I = Basic Representation Theory /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Frobenius Algebras I/ Andrzej Skowroński, Kunio Yamagata
其他題名:	Basic Representation Theory /
作者:	Skowroński, Andrzej,
其他作者:	Yamagata, Kunio,
出版者:	Zuerich, Switzerland :European Mathematical Society Publishing House, : 2011,
面頁冊數:	1 online resource (661 pages)
標題:	Fields & rings -
電子資源:	https://doi.org/10.4171/102
電子資源:	https://www.ems-ph.org/img/books/skowronski_text1_mini.jpg
ISBN:	9783037196021

Frobenius Algebras I = Basic Representation Theory /
Skowroński, Andrzej,

Frobenius Algebras IBasic Representation Theory /[electronic resource] :Andrzej Skowroński, Kunio Yamagata - Zuerich, Switzerland :European Mathematical Society Publishing House,2011 - 1 online resource (661 pages) - EMS Textbooks in Mathematics (ETB).

Restricted to subscribers:https://www.ems-ph.org/ebooks.php

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 mathematicians working in other fields.

ISBN: 9783037196021

Standard No.: 10.4171/102doiSubjects--Topical Terms:

3480919
Fields & rings

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