Computation of weight lattices of G-varieties

被引:0
|
作者
Losev I.V. [1 ]
机构
[1] Department of Applied Mathematics and Computer Science, Belarusian State University, Minsk
关键词
Root Lattice; Homogeneous Space; Algebraic Group; Weyl Group; Maximal Torus;
D O I
10.1007/s10958-009-9537-5
中图分类号
学科分类号
摘要
Let G be a connected reductive group. To any irreducible G-variety, one assigns the lattice consisting of all weights of B-semiinvariant rational functions on X, where B is a Borel subgroup of G. This lattice is called the weight lattice of X. We establish algorithms for computing weight lattices for homogeneous spaces and affine homogeneous vector bundles. For affine homogeneous spaces of rank rk G we present a more or less explicit computation. © 2009 Springer Science+Business Media, Inc.
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页码:70 / 96
页数:26
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