This is a wonderfully written book, definitely suitable for a graduate student to study individually or as a text for a 1-semester class.
Local Representation Theory: Modular Representations as an Introduction to the Local Representation Theory of Finite Groups
β Scribed by J. L. Alperin
- Publisher
- Cambridge University Press
- Year
- 1993
- Tongue
- English
- Leaves
- 185
- Series
- Cambridge Studies in Advanced Mathematics 11
- Category
- Library
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
online notes (version 30 May 2012)
Because of their significance in physics and chemistry, representation of Lie groups has been an area of intensive study by physicists and chemists, as well as mathematicians. This introduction is designed for graduate students who have some knowledge of finite groups and general topology, but is ot
1. Prerequisites in module theory -- 2. The Cartan-Brauer Triangle -- 3. The Brauer character -- 4. Green's theory of indecomposable modules -- 5. Blocks
<p><p>Representation theory studies maps from groups into the general linear group of a finite-dimensional vector space. For finite groups the theory comes in two distinct flavours. In the 'semisimple case' (for example over the field of complex numbers) one can use character theory to completely un