Locally finite root systems
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.
AMS subject classification: 17B10, 17B20, 20F55
(This paper has appeared in Memoirs Amer. Math. Soc. 171 (2004), no. 811)
O. Loos < ottmar.loos@uibk.ac.at >
E. Neher < neher@uottawa.ca >