Computation of Weight Lattices of G-varieties
نویسنده
چکیده
Let G be a connected reductive group. To any irreducible G-variety X one assigns the lattice generated by 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 rkG we present a more or less explicit computation.
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