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Embeddings of Schur functions into types B/C/D | | Michael Kleber
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21 Sep 2000 | | Subject: | Combinatorics; Quantum Algebra; Representation Theory MSC-class: 05E05 (Primary) 17B10, 17B37(Secondary) | math.CO math.QA math.RT | | Abstract: | We consider the problem of embedding the semi-ring of Schur-positive symmetric polynomials into its analogue for the classical types $B/C/D$. If we preserve highest weights and add the additional Lie-theoretic parity assumption that the weights in images of Schur functions lie in a single translate of the root lattice, there are exactly two solutions. These naturally extend the Kirillov--Reshetikhin decompositions of representations of symplectic and orthogonal quantum affine algebras $U_q(hat{g})$ (some still conjectural, some recently proven). | | Source: | arXiv, math.CO/0009199 | | Services: | Forum | Review | PDF | Favorites | |
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