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arXiv:1104.0907 [math.RT]AbstractReferencesReviewsResources

Weyl group action and semicanonical bases

Pierre Baumann

Published 2011-04-05Version 1

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.

Journal: Advances in Mathematics 228 (2011), pp. 2874-2890
Categories: math.RT
Subjects: 17B10, 05E10, 16G20
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