On relation between pseudo-Hermitian symmetric pairs and para-Hermitian symmetric pairs
نویسندگان
چکیده
منابع مشابه
A Pieri Rule for Hermitian Symmetric Pairs
Let (G, K) be a Hermitian symmetric pair and let g and k denote the corresponding complexified Lie algebras. Let g = k⊕ p+⊕ p− be the usual decomposition of g as a k-module. K acts on the symmetric algebra S(p−). We determine the K-structure of all K-stable ideals of the algebra. Our results resemble the Pieri Rule for Young diagrams. The result implies a branching rule for a class of finite di...
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We study the parabolic Kazhdan-Lusztig polynomials for Hermitian symmetric pairs. In particular, we show that these polynomials are always either zero or a monic power of q, and that they are combinatorial invariants.
متن کاملA Pieri Rule for Hermitian Symmetric Pairs I
Let (G,K) be a Hermitian symmetric pair and let g and k denote the corresponding complexified Lie algebras. Let g = k⊕p+⊕p− be the usual decomposition of g as a k-module. K acts on the symmetric algebra S(p−). We determine the K-structure of all K-stable ideals of the algebra. Our results resemble the Pieri rule for Young diagrams. The result implies a branching rule for a class of finite dimen...
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Let X be an irreducible Hermitian symmetric space of noncompact type and rank r. Let p ∈ X and let K be the isotropy group of p in the group of biholomorphic transformations. Let S denote the symmetric algebra in the holomorphic tangent space to X at p. Then S is multiplicity free as a representation of K and the irreducible constituents are parametrized by r-tuples, (m1, . . . ,mr) with m1 ≥ ·...
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ژورنال
عنوان ژورنال: Tohoku Mathematical Journal
سال: 2009
ISSN: 0040-8735
DOI: 10.2748/tmj/1238764547