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Frobenius Algebras II: Tilted and Hochschild Extension Algebras /
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Title
Frobenius Algebras II ([EBook] :) : Tilted and Hochschild Extension Algebras / / Andrzej Skowroński, Kunio Yamagata
Author
Skowroński, Andrzej
Added Personal Name
Yamagata, Kunio
Publication
Zuerich, Switzerland : : European Mathematical Society Publishing House, , 2017
Physical Details
1 online resource (629 pages)
Series
EMS Textbooks in Mathematics (ETB)
ISBN
9783037196748
Summary Note
This is the second of three volumes which will provide a comprehensive introduction to the modern representation theory of Frobenius algebras. The first part of the book is devoted to fundamental results of the representation theory of finite dimensional hereditary algebras and their tilted algebras, which allow to describe the representation theory of prominent classes of Frobenius algebras. The second part is devoted to basic classical and recent results concerning the Hochschild extensions of finite dimensional algebras by duality bimodules and their module categories. Moreover, the shapes of connected components of the stable Auslander-Reiten quivers of Frobenius algebras are described. The only prerequisite in this volume is a basic knowledge of linear algebra and some results of the first volume. 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.:
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/10.4171/174
See Also
https://www.ems-ph.org/img/books/skowronski_II_mini.jpg
Links to Related Works
Subject References:
Algebra
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Associative Rings and Algebras
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Category Theory, Homological Algebra
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Commutative Rings and Algebras
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Linear and multilinear algebra; matrix theory
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Mathematics
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Authors:
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Skowroński, Andrzej
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Yamagata, Kunio
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Series:
EMS Textbooks in Mathematics (ETB)
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