Course in Finite Group Representation Theory

Informationen zum Autor Peter Webb is Professor of Mathematics at the University of Minnesota. His research interests focus on the interactions between group theory and other areas of algebra, combinatorics, and topology. In 1988, he was awarded a Whitehead Prize of the London Mathematical Society. Klappentext This classroom-tested graduate text provides a thorough grounding in the representation theory of finite groups over fields and rings. Zusammenfassung This classroom-tested graduate text provides a thorough grounding in the representation theory of finite groups over fields and rings. Key topics include the construction and use of character tables! the role of induction and restriction! projective and simple modules for group algebras! indecomposable representations! and block theory. Inhaltsverzeichnis 1. Representations and Maschke's theorem; 2. Algebras with semisimple modules; 3. Characters; 4. Construction of characters; 5. Theorems of Mackey and Clifford; 6. p-groups and the radical; 7. Projective modules for algebras; 8. Projective modules for group algebras; 9. Splitting fields and the decomposition map; 10. Brauer characters; 11. Indecomposable modules; 12. Blocks.

Product details

• Authors: Peter Webb, Peter (University of Minnesota) Webb
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Hardback
• Released: 30.09.2016
• EAN: 9781107162396
• ISBN: 978-1-107-16239-6
• No. of pages: 336
• Series: Cambridge Studies in Advanced Mathematics; Cambridge Studies in Advanced
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra