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Block Theory of Finite Group Algebras 2 Paperback Book Set [Multiple-component retail product]

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(City, University of London)
  • Formāts: Multiple-component retail product, 1114 pages, height x width x depth: 227x152x57 mm, weight: 1520 g, Worked examples or Exercises, Contains 2 paperbacks
  • Sērija : London Mathematical Society Student Texts
  • Izdošanas datums: 24-May-2018
  • Izdevniecība: Cambridge University Press
  • ISBN-10: 1108441904
  • ISBN-13: 9781108441902
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  • Multiple-component retail product
  • Cena: 144,45 €
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Block Theory of Finite Group Algebras 2 Paperback Book SetPalielināt
  • Formāts: Multiple-component retail product, 1114 pages, height x width x depth: 227x152x57 mm, weight: 1520 g, Worked examples or Exercises, Contains 2 paperbacks
  • Sērija : London Mathematical Society Student Texts
  • Izdošanas datums: 24-May-2018
  • Izdevniecība: Cambridge University Press
  • ISBN-10: 1108441904
  • ISBN-13: 9781108441902
Citas grāmatas par šo tēmu:
Permanent link: https://www.kriso.lv/db/9781108441902.html
Keywords:
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.

Graduate students and researchers in modular representation theory, especially block theory, will find this systematic introduction indispensable. The two volumes include detailed treatments of classic material as well as more modern developments which have not appeared in any book before, giving readers a comprehensive overview of the subject.

Recenzijas

'This 2-volume book is a very welcome addition to the existing literature in modular representation theory. It contains a wealth of material much of which is here presented in textbook form for the rst time. It gives an excellent overview of the state of the art in this fascinating subject and also of the many challenging and fundamental open problems. It is well written and will certainly become a standard reference.' Burkhard Klshammer, MathSciNet

Papildus informācija

A comprehensive treatment of block theory, emphasising cornerstones of the area which have not appeared in any book before.
Volume 1: Introduction;
1. Algebras and modules;
2. Functors between module categories;
3. Character theory;
4. Algebras over p-local rings;
5. Group algebras and modules over p-local rings; References; Index. Volume 2: Introduction;
6. Blocks and source algebras;
7. Modules over finite p-groups;
8. Local structure;
9. Isometries and bimodules;
10. Structural results in block theory;
11. Blocks with cyclic defect groups;
12. Blocks with Klein four defect groups; Appendix; References; Index.
Markus Linckelmann is a Professor in the Department of Mathematics at City, University of London.