共 2 条
- [1] Morand J.(1999)Closures of torus orbits in adjoint representations of semisimple groups C. R. Acad. Sci. Paris Sér. I Math. 328 197-202
- [2] Kuyumzhiyan K.(2009)Simple SL( J. Algebraic Combin. 30 515-538
Simple modules of exceptional groups with normal closures of maximal torus orbits
被引：0
作者：
I. I. Bogdanov
K. G. Kuyumzhiyan
机构：
[1] Moscow Institute of Physics and Technology,
[2] National Research University “Higher School of Economics,undefined
[3] ”,undefined
来源：
Mathematical Notes
|
2012年
/
92卷
关键词：
variety;
normality;
irreducible representation;
exceptional group;
maximal torus;
weight decomposition;
D O I：
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中图分类号：
学科分类号：
摘要：
Let G be an exceptional simple algebraic group, and let T be a maximal torus in G. In this paper, for every such G, we find all simple rational G-modules V with the following property: for every vector v ∈ V, the closure of its T-orbit is a normal affine variety. To solve this problem, we use a combinatorial criterion of normality formulated in terms of weights of simple G-modules. This paper continues the works of the second author in which the same problem was solved for classical linear groups.
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页码：445 / 457
页数：12
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