Weyl group action and semicanonical bases

Details Weyl group action and semicanonical bases Weyl group action and semicanonical bases

2011-04-05

arxiv.org/abs/1104.0907v1

Advances in Mathematics 228 (2011), pp. 2874-2890

Mathematics

Representation Theory

Scientific paper

10.1016/j.aim.2011.07.021

Let U be the enveloping algebra of a symmetric Kac-Moody algebra. The Weyl
group acts on U, up to a sign. In addition, the positive subalgebra U^+
contains a so-called semicanonical basis, with remarkable properties. The aim
of this paper is to show that these two structures are as compatible as
possible.

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