We develop the basic theory of root systems $R$ in a real vector space $X$ which are defined in analogy to the usual finite root systems, except that finiteness is replaced by local finiteness: the intersection of $R$ with every finite-dimensional subspace of $X$ is finite. The main topics are Weyl groups, parabolic subsets and positive systems, weights, and gradings.
| ISBN: | 9780821835463 |
| Publication date: | 30th July 2004 |
| Author: | Ottmar Loos, Erhard Neher |
| Publisher: | American Mathematical Society |
| Format: | Paperback |
| Pagination: | 214 pages |
| Series: | Memoirs of the American Mathematical Society |
| Genres: |
Algebra |