The block theory of finite group algebras. Volume II / Markus Linckelmann.
Material type:
TextSeries: London Mathematical Society student texts ; 92.Publisher: Cambridge : Cambridge University Press, 2018Description: 1 online resource (xi, 510 pages) : digital, PDF file(s)Content type: text Media type: computer Carrier type: online resourceISBN: 9781108349307 (ebook)Subject(s): Group algebras | Finite groupsAdditional physical formats: Print version: : No titleDDC classification: 512.2 LOC classification: QA174.2 | .L56 2018Online resources: Click here to access online Summary: 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.
| Item type | Current library | Call number | Status | Date due | Barcode |
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Ebooks
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Mysore University Main Library | Not for loan | EBCU318 |
Title from publisher's bibliographic system (viewed on 16 May 2018).
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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