Representations of Uh(su(N))derived from quantum flag manifolds
نویسندگان
چکیده
منابع مشابه
Quantum Cohomology of Flag Manifolds
In this paper, we study the (small) quantum cohomology ring of the partial flag manifold. We give proofs of the presentation of the ring and of the quantum Giambelli formula for Schubert varieties. These are known results, but our proofs are more natural and direct than the previous ones. One of our goals is to give evidence of a relationship between universal Schubert polynomials, which give t...
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We describe geometric realizations for various classes of admissible representations of reductive Lie groups. The representations occur on partially holomorphic cohomology spaces corresponding to partially holomorphic homogeneous vector bundles over real group orbits in complex flag manifolds. The representations in question include standard tempered and limits of standard tempered representati...
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We give elementary geometric proofs of the structure theorems for the (small) quantum cohomology of partial flag varieties SL(n)/P , including the quantum Pieri and quantum Giambelli formulas and the presentation.
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Generalized flag manifolds endowed with the Bruhat-Poisson bracket are compact Poisson homogeneous spaces, whose decompositions in symplectic leaves coincide with their stratifications in Schubert cells. In this note it is proved that the irreducible ∗-representations of the corresponding quantized flag manifolds are also parametrized by their Schubert cells. An important step is the determinat...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 1997
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.531808