Generalised Kostka-Foulkes polynomials and cohomology of line bundles on homogeneous vector bundles

Details Generalised Kostka-Foulkes polynomials and cohomology of line bundles on homogeneous vector bundles Generalised Kostka-Foulkes polynomials and cohomology of line bundles on homogeneous vector bundles

2009-04-23

arxiv.org/abs/0904.3721v1

Mathematics

Algebraic Geometry

26 pages

Scientific paper

Let $G$ be a semisimple algebraic group and $B$ a Borel subgroup. We consider
generalisations of Lusztig's q-analogues of weight multiplicity, where the set
of positive roots is replaced with the multiset of weights of a $B$-submodule
of an arbitrary finite-dimensional $G$-module.

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