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Kniha Representation Theory Alexander Zimmermann

Representation Theory

A Homological Algebra Point of View

Autor: Alexander Zimmermann
Jazyk: Angličtina
Vazba: Brožovaná
Vydavatel: Springer International Publishing AG
Dostupnost: U nakladatele na objednávku
Odesíláme za 17-27 dnů
4 554 Kč
Introducing the representation theory of groups and finite dimensional algebras, first studying basi...

Informace o knize

Autor
Alexander Zimmermann
Jazyk
Angličtina
Vazba
Kniha - Brožovaná
Vydáno
2016
Stránek
707
EAN
9783319352619
ISBN
331935261X
Enbook ID
14208354
Vydavatel
Springer International Publishing AG
Hmotnost
1001
Rozměry
155 x 235 x 42

Kompletní popis

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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