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The Block Theory of Finite Group Algebras: Volume 2

Af: Markus Linckelmann Engelsk Hardback

The Block Theory of Finite Group Algebras: Volume 2

Af: Markus Linckelmann Engelsk Hardback
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This is a comprehensive introduction to the modular representation theory of finite groups, with an emphasis on block theory. The two volumes take into account classical results and concepts as well as some of the modern developments in the area. Volume 1 introduces the broader context, starting with general properties of finite group algebras over commutative rings, moving on to some basics in character theory and the structure theory of algebras over complete discrete valuation rings. In Volume 2, blocks of finite group algebras over complete p-local rings take centre stage, and many key results which have not appeared in a book before are treated in detail. In order to illustrate the wide range of techniques in block theory, the book concludes with chapters classifying the source algebras of blocks with cyclic and Klein four defect groups, and relating these classifications to the open conjectures that drive block theory.
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This is a comprehensive introduction to the modular representation theory of finite groups, with an emphasis on block theory. The two volumes take into account classical results and concepts as well as some of the modern developments in the area. Volume 1 introduces the broader context, starting with general properties of finite group algebras over commutative rings, moving on to some basics in character theory and the structure theory of algebras over complete discrete valuation rings. In Volume 2, blocks of finite group algebras over complete p-local rings take centre stage, and many key results which have not appeared in a book before are treated in detail. In order to illustrate the wide range of techniques in block theory, the book concludes with chapters classifying the source algebras of blocks with cyclic and Klein four defect groups, and relating these classifications to the open conjectures that drive block theory.
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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 520
ISBN-13: 9781108425902
Indbinding: Hardback
Udgave:
ISBN-10: 1108425909
Kategori: Algebraisk topologi
Udg. Dato: 24 maj 2018
Længde: 35mm
Bredde: 160mm
Højde: 235mm
Forlag: Cambridge University Press
Oplagsdato: 24 maj 2018
Forfatter(e): Markus Linckelmann
Forfatter(e) Markus Linckelmann

Kategori Algebraisk topologi

ISBN-13 9781108425902

Sprog Engelsk

Indbinding Hardback

Sider 520

Udgave

Længde 35mm

Bredde 160mm

Højde 235mm

Udg. Dato 24 maj 2018

Oplagsdato 24 maj 2018

Forlag Cambridge University Press