The stretched weight lattices of a Weyl group
Author: Daniel R. Farkas
Journal: Proc. Amer. Math. Soc. 92 (1984), 473-477
MSC: Primary 17B10; Secondary 17B20
MathSciNet review: 760928
Abstract: Consider a finite group of automorphisms of a lattice. The nonnegative cone is a fundamental domain (for the action of the group on the lattice) if and only if the group is a Weyl group and the lattice is isomorphic, as a module, to one of the group's stretched weight lattices.
Keywords: Weyl group, weight lattice, fundamental domain
Article copyright: © Copyright 1984 American Mathematical Society