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• W2039751612 abstract "Let T be a maximal torus in a classical linear group G. In this paper we find all simple rational G-modules V such that for each vector v ∈ V the closure of the T-orbit of v is a normal affine variety. For every G-module without this property we present a T-orbit with nonnormal closure. To solve this problem, we use a combinatorial criterion of normality which is formulated in terms of the set of weights of a simple G-module. The same problem for G = SL(n) was solved by the author earlier." @default.
• W2039751612 created "2016-06-24" @default.
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• W2039751612 date "2012-11-01" @default.
• W2039751612 modified "2023-10-05" @default.
• W2039751612 title "Simple modules of classical linear groups with normal closures of maximal torus orbits" @default.
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• W2039751612 doi "https://doi.org/10.1134/s0037446612060122" @default.
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