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OverviewA 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. Full Product DetailsAuthor: J.L. Alperin , Rowen B. BellPublisher: Springer-Verlag New York Inc. Imprint: Springer-Verlag New York Inc. Edition: 1995 ed. Volume: 162 Dimensions: Width: 15.50cm , Height: 1.10cm , Length: 23.50cm Weight: 0.670kg ISBN: 9780387945262ISBN 10: 0387945261 Pages: 196 Publication Date: 11 September 1995 Audience: College/higher education , Postgraduate, Research & Scholarly Format: Paperback Publisher's Status: Active Availability: Out of print, replaced by POD  We will order this item for you from a manufatured on demand supplier. Table of Contents1. 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.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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