Locally Finite Root Systems
Download or Read eBook Locally Finite Root Systems PDF written by Ottmar Loos and published by American Mathematical Soc.. This book was released on 2004 with total page 232 pages. Available in PDF, EPUB and Kindle.
Author | : Ottmar Loos |
Publisher | : American Mathematical Soc. |
Total Pages | : 232 |
Release | : 2004 |
ISBN-10 | : 9780821835463 |
ISBN-13 | : 0821835467 |
Rating | : 4/5 (63 Downloads) |
Book Synopsis Locally Finite Root Systems by : Ottmar Loos
Book excerpt: 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.