Definitive treatment covers split semi-simple Lie algebras, universal enveloping algebras, classification of irreducible modules, automorphisms, simple Lie algebras over an arbitrary field, and more. Classic handbook for researchers and students; useable in graduate courses or for self-study
Modular representations of finite groups
โ Scribed by Author Unknown
- Publisher
- AP
- Year
- 1977
- Tongue
- English
- Leaves
- 259
- Series
- Pure and Applied Mathematics
- Category
- Library
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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
book draft of: http://libgen.io/book/index.php?md5=9639FA5ACC1A8004F46308A84CA2A0B1
Finite groups of Lie type encompass most of the finite simple groups. Their representations and characters have been studied intensively for half a century, though some key problems remain unsolved. This is the first comprehensive treatment of the representation theory of finite groups of Lie type o