Computation of the Cartan spaces of affine homogeneous spaces

Details Computation of the Cartan spaces of affine homogeneous spaces Computation of the Cartan spaces of affine homogeneous spaces

2006-06-05

arxiv.org/abs/math/0606101v2

Sbornik Math. 198(2007), 31-56

Mathematics

Algebraic Geometry

v1 20 pages, v2 minor corrections are made

Scientific paper

Let $G$ be a reductive algebraic group and $H$ its reductive subgroup. Fix a
Borel subgroup $B\subset G$ and a maximal torus $T\subset B$. The Cartan space
$\a_{G,G/H}$ is, by definition, the subspace of $\Lie(T)^*$ generated by the
weights of $B$-semiinvariant rational functions on $G/H$. We compute the spaces
$\a_{G,G/H}$.

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