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math.RT2011★ 15 cited
Affine Mirković-Vilonen polytopes
Pierre Baumann, Joel Kamnitzer, Peter Tingley
Each integrable lowest weight representation of a symmetrizable Kac-Moody Lie algebra g has a crystal in the sense of Kashiwara, which describes its combinatorial properties. For a…
math.RT2011★ 3 cited
Weyl group action and semicanonical bases
Pierre Baumann
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 semicanonica…