Spaces of coinvariants and fusion product, I: From equivalence theorem to Kostka polynomials
نویسندگان
چکیده
منابع مشابه
SPACES OF COINVARIANTS AND FUSION PRODUCT II. ŝl2 CHARACTER FORMULAS IN TERMS OF KOSTKA POLYNOMIALS
In this paper, we continue our study of the Hilbert polynomials of coinvariants begun in our previous work [FJKLM] (paper I). We describe the sln fusion products for symmetric tensor representations following the method of [FF], and show that their Hilbert polynomials are An−1-supernomials. We identify the fusion product of arbitrary irreducible sln-modules with the fusion product of their resc...
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We study a class of representations called “calibrated representations” of the degenerate double affine Hecke algebra and those of the rational Cherednik algebra of type GLn. We give a realization of calibrated irreducible modules as spaces of coinvariants constructed from integrable modules over the affine Lie algebra ĝl m . Moreover, we give a character formula of these irreducible modules in...
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where Mλ,μ is a multiplicity space on which g acts trivially, of dimension Kλ,μ which can be computed from the Clebsch-Gordan coefficients or the Littlewood-Richardson rule. The Schur-Weyl duality concerns the case where μ = (1) for all i. In that case, there is an action of the symmetric group SN on the tensor product by permutation of factors, which centralizes the action of sln. In this case...
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This paper explains the relation between the fusion product of symmetric power sln evaluation modules, as defined by Feigin and Loktev, and the graded coordinate ring Rμ which describes the cohomology ring of the flag variety Flμ′ of GLN . The graded multiplicity spaces appearing in the decomposition of the fusion product into irreducible sln-modules are identified with the multiplicity spaces ...
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ژورنال
عنوان ژورنال: Duke Mathematical Journal
سال: 2004
ISSN: 0012-7094
DOI: 10.1215/s0012-7094-04-12533-3