This textbook by Jean-Pierre Serre provides an in-depth treatment of representation theory and Brauer theory. It is aimed at mathematicians and physicists who are concerned with the transition from characteristic 0 to characteristic p. The book discusses fundamental concepts such as linear representations, characters, and decomposition morphisms.
Content overview
The main results include, among other things, the fact that the decomposition morphism is surjective: all irreducible representations in characteristic p can be "virtually," via a suitable Grothendieck group, lifted to characteristic 0. The book consists of three parts ranging from elementary proofs for quantum chemists to an introduction to advanced techniques such as non-commutative tensor products and projective modules.
Product specifications
- Author: Jean-Pierre Serre
- Series: Graduate Texts in Mathematics
- Publisher: Springer-Verlag New York Inc.
- Publication date: 1977-09-01
- Number of pages: 172
- ISBN: 9780387901909
- Theme: Mathematics
- BISAC: MATHEMATICS / General