Geometric Invariant Theory and Generalized Eigenvalue Problem
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(G, Ĝ) generated by the pairs (ν, ν̂) of dominant characters such that Vν is a submodule of Vν̂ (with usual notation). Here we give a minimal set of inequalities describing LR(G, Ĝ) as a part of the dominant chamber. In way, we obtain results about the faces of the Dolgachev-Hu’s G-ample cone and variations of this cone.
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