Pezzini G, van Steirteghem B (2019)
Publication Type: Journal article
Publication year: 2019
Book Volume: 372
Pages Range: 2875-2919
Journal Issue: 4
DOI: 10.1090/tran/7785
Let G be a connected reductive group, and let X be a smooth affine spherical G-variety, both defined over the complex numbers. A well-known theorem of I. Losev's says that 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.
APA:
Pezzini, G., & van Steirteghem, B. (2019). COMBINATORIAL CHARACTERIZATION OF THE WEIGHT MONOIDS OF SMOOTH AFFINE SPHERICAL VARIETIES. Transactions of the American Mathematical Society, 372(4), 2875-2919. https://dx.doi.org/10.1090/tran/7785
MLA:
Pezzini, Guido, and Bart van Steirteghem. "COMBINATORIAL CHARACTERIZATION OF THE WEIGHT MONOIDS OF SMOOTH AFFINE SPHERICAL VARIETIES." Transactions of the American Mathematical Society 372.4 (2019): 2875-2919.
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