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Carte Representation Theory Alexander Zimmermann

Representation Theory

A Homological Algebra Point of View

Autor: Alexander Zimmermann
Limbă: engleză
Legare: Carte broșată
Editura: Springer International Publishing AG
Disponibilitate: În depozitul extern
Expediem în 5-8 zile
939.26 lei
Introducing the representation theory of groups and finite dimensional algebras, first studying basi...

Informații despre carte

Autor
Alexander Zimmermann
Limbă
engleză
Legare
Carte - Carte broșată
Publicat
2016
Pagini
707
EAN
9783319352619
ISBN
331935261X
Enbook ID
14208354
Editura
Springer International Publishing AG
Greutate
1001
Dimensiuni
155 x 235 x 42

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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