Weyl group action and semicanonical bases |
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| Authors: | Pierre Baumann |
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| Institution: | Institut de Recherche Mathématique Avancée, Université de Strasbourg et CNRS, 7 rue René Descartes, 67084 Strasbourg Cedex, France |
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| Abstract: | 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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| Keywords: | MSC: primary 17B10 secondary 05E10 16G20 |
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