Matroids and Geometric Invariant Theory of Torus Actions on Flag Spaces
نویسندگان
چکیده
Title of dissertation: MATROIDS AND GEOMETRIC INVARIANT THEORY OF TORUS ACTIONS ON FLAG SPACES Benjamin Howard, Doctor of Philosophy, 2006 Dissertation directed by: Professor John Millson Department of Mathematics Let λ and μ be weights of G = SL(n,C) such that λ is dominant. Let Vλ be the irreducible representation of G with highest weight λ, and let Vλ[μ] denote the μ-th weight space within Vλ. That is, Vλ[μ] is an isotypic component of the representation Vλ pulled back to the maximal torus T ⊂ G of diagonal matrices. The vector space Rλ,μ = ∞ ⊕
منابع مشابه
Convex functions on symmetric spaces and geometric invariant theory for weighted configurations on flag manifolds
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