Minor wear to edges of covers aswell as some minor marking to the base of the book block. ; Groups and Representations (Graduate Texts in Mathematics, Vol. 162) provides a comprehensive introduction to the theory of groups and their representations. Covering essential concepts such as group actions, character theory, and matrix representations, it is ideal for graduate students in mathematics and physics. The book bridges abstract algebra with applications in various scientific fields, offering clear explanations and examples. ; 15.9 x 23.1 x 1.5 cm ; x, 119 pages.

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Dati bibliografici

Titolo: Groups and Representations - Graduate Texts in Mathematics, Vol 162
Editore: Springer, U. S. A
Data di pubblicazione: 1995
Lingua: Inglese
ISBN 10: 0387945261
ISBN 13: 9780387945262
Rilegatura: Softcover
Edizione: First Edition; First Impression.
Condizione: Very Good
Condizione della sovraccoperta: No Dust Jacket

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Riassunto

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.

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.

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