Geometric Invariant Theory and Generalized Eigenvalue Problem II
نویسندگان
چکیده
Let G be a connected reductive subgroup of a complex connected reductive group Ĝ. Fix maximal tori and Borel subgroups of G and Ĝ. Consider the cone LR◦(Ĝ,G) generated by the pairs (ν, ν̂) of strictly dominant characters such that Vν is a submodule of Vν̂ . The main result of this article is a bijective parametrisation of the faces of LR◦(Ĝ,G). We also explain when such a face is contained in another one. In way, we obtain results about the faces of the Dolgachev-Hu’s Gample cone. We also apply our results to reprove known results about the moment polytopes.
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