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Representation Theory

By Alexander Zimmermann

Representation Theory Mathematics

Representation Theory

By Alexander Zimmermann

0 - Used - very good
Description
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.
Product details
Edition:
1
Number of Pages:
728
Release Date:
2014-08-26
Publication Date:
2014-08-26
Publisher:
Springer
Languages:
Original: English
ISBN10:
3319079670
ISBN13:
9783319079677
GPSR Manufacturer Reference:
[email protected]
Weight:
1244 g
Height:
160 cm
Width:
241 cm
Thickness:
45 cm
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