Locally Finite Root Systems
Author | : Ottmar Loos |
Publisher | : American Mathematical Soc. |
Total Pages | : 232 |
Release | : 2004 |
Genre | : Mathematics |
ISBN | : 0821835467 |
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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.