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Vertex operators, Weyl determinant formulae and Littlewood duality (1308.2792v3)

Published 13 Aug 2013 in math.QA, math.CO, and math.RT

Abstract: Vertex operator realizations of symplectic and orthogonal Schur functions are studied and expanded. New proofs of determinant identities of irreducible characters for the symplectic and orthogonal groups are given. We also give a new proof of the duality between the universal orthogonal and symplectic Schur functions using vertex operators.

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