J.L. Alperin,
Rowen B. Bell
Springer New York
1995e druk, 1995
9780387945262
Groups and Representations
Specificaties
Paperback, 196 blz.
|
Engels
Springer New York |
1995e druk, 1995
ISBN13: 9780387945262
Rubricering
Onderdeel van serie
Graduate Texts in Mathematics
Levertijd ongeveer 9 werkdagen
Gratis verzonden
Samenvatting
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.
Specificaties
ISBN13:9780387945262
Taal:Engels
Bindwijze:paperback
Aantal pagina's:196
Uitgever:Springer New York
Druk:1995
Inhoudsopgave
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.