Equivariant Littlewood-Richardson skew tableaux
نویسندگان
چکیده
منابع مشابه
Equivariant Littlewood-richardson Skew Tableaux
We give a positive equivariant Littlewood-Richardson rule also discovered independently by Molev. Our proof generalizes a proof by Stembridge of the ordinary Littlewood-Richardson rule. We describe a weight-preserving bijection between our indexing tableaux and the Knutson-Tao puzzles.
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A graded poset structure is defined for the sets of LittlewoodRichardson (LR) tableaux that count the multiplicity of an irreducible gl(n)module in the tensor product of irreducible gl(n)-modules corresponding to rectangular partitions. This poset generalizes the cyclage poset on columnstrict tableaux defined by Lascoux and Schützenberger, and its grading function generalizes the charge statist...
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We define a bijection from Littlewood–Richardson tableaux to rigged configurations and show that it preserves the appropriate statistics. This proves in particular a quasi-particle expression for the generalized Kostka polynomials KλR(q) labeled by a partition λ and a sequence of rectangles R. The generalized Kostka polynomials are q-analogues of multiplicities of the irreducible GL(n,C)-module...
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The classical Littlewood-Richardson rule is a rule for computing coefficients in many areas, and comes in many guises. In this paper we prove two Littlewood-Richardson rules for symmetric skew quasisymmetric Schur functions that are analogous to the famed version of the classical Littlewood-Richardson rule involving Yamanouchi words. Furthermore, both our rules contain this classical Littlewood...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2009
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-09-04862-4