Representation Theory

Name: Representation Theory
Brand: Springer International Publishing AG
SKU: 9783319079677
Price: 935.81 RON
Availability: InStock

A Homological Algebra Point of View

Autor: Alexander Zimmermann

Limbă:

Legare: Copertă tare

Editura: Springer International Publishing AG

Disponibilitate: În depozitul extern

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935.81 lei

Introducing the representation theory of groups and finite dimensional algebras, first studying basi...

Informații despre carte

Autor

Alexander Zimmermann

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2014

Pagini

707

EAN

9783319079677

ISBN

3319079670

Enbook ID

02723665

Editura

Springer International Publishing AG

Greutate

1244

Dimensiuni

155 x 235 x 44

Descriere completă

Introducing the representation theory of groups and finite dimensional algebras, first studying basic non-commutative ring theory, this book covers the necessary background on elementary homological algebra and representations of groups up to block theory. It further discusses vertices, defect groups, Green and Brauer correspondences and Clifford theory. Whenever possible the statements are presented in a general setting for more general algebras, such as symmetric finite dimensional algebras over a field.§Then, abelian and derived categories are introduced in detail and are used to explain stable module categories, as well as derived categories and their main invariants and links between them. Group theoretical applications of these theories are given such as the structure of blocks of cyclic defect groups whenever appropriate. Overall, many methods from the representation theory of algebras are introduced.§Representation Theory assumes only the most basic knowledge of linear algebra, groups, rings and fields and guides the reader in the use of categorical equivalences in the representation theory of groups and algebras. As the book is based on lectures, it will be accessible to any graduate student in algebra and can be used for self-study as well as for classroom use.§

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Representation Theory

A Homological Algebra Point of View

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