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arXiv · 1510.04266

Combinatorial characterization of the weight monoids of smooth affine spherical varieties

Guido Pezzini·Bart Van Steirteghem
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Abstract

Let G be a connected complex reductive group. A well known theorem of I. Losev's says that a smooth affine spherical G-variety X is uniquely determined by its weight monoid, which is the set of irreducible representations of G that occur in the coordinate ring of X. In this paper, we use the combinatorial theory of spherical varieties and a smoothness criterion of R. Camus to characterize the weight monoids of smooth affine spherical varieties.

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Guido Pezzini, Bart Van Steirteghem. 2016-03-29. Combinatorial characterization of the weight monoids of smooth affine spherical varieties. https://arxiv.org/abs/1510.04266

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