Groups and Representations: 162 - Brossura

Alperin, J.L.

 
9780387945262: Groups and Representations: 162

Sinossi

A concise treatment of topics from group theory and representation theory for use in a one-term course. Focussing on the non-commutative side of the field, this advanced textbook emphasizes the general linear group as the most important group and example.
Readers are expected to be familiar with groups, rings, and fields, and to have a solid knowledge of linear algebra. Close to 200 exercises of varying difficulty serve both to reinforce the main concept of the text and to introduce the reader to additional topics.

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Contenuti

1. Rudiments of Group Theory.- 1. Review.- 2. Automorphisms.- 3. Group Actions.- 2. The General Linear Group.- 4. Basic Structure.- 5. Parabolic Subgroups.- 6. The Special Linear Group.- 3. Local Structure.- 7. Sylow’s Theorem.- 8. Finite p-groups.- 9. The Schur-Zassenhaus Theorem.- 4. Normal Structure.- 10. Composition Series.- 11. Solvable Groups.- 5. Semisimple Algebras.- 12. Modules and Representations.- 13. Wedderburn Theory.- 6. Group Representations.- 14. Characters.- 15. The Character Table.- 16. Induction.- Appendix: Algebraic Integers and Characters.- List of Notation.

Product Description

Book by Alperin JL Bell Rowen B

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Altre edizioni note dello stesso titolo

9781461208006: Groups and Representations

Edizione in evidenza

ISBN 10:  1461208009 ISBN 13:  9781461208006
Casa editrice: Springer, 2011
Brossura