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Frobenius Algebras I: Basic Representation Theory (EMS Textbooks in Mathematics) by Andrzej Skowroński; Kunio Yamagata is a nonfiction available to read on EtoBox.

What is Frobenius Algebras I: Basic Representation Theory (EMS Textbooks in Mathematics) about?

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. A publication of the European Mathematical Society (EMS). Distributed wi

Who reads Frobenius Algebras I: Basic Representation Theory (EMS Textbooks in Mathematics)?

Author

Andrzej Skowroński; Kunio Yamagata

Publisher

European Mathematical Society Publishing House, Zuerich, Switzerland

Published

2011

Language

EN

ISBN

9783037196748

Category

nonfiction

Subjects

Mathematics, Stem