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arXiv · 1308.2792

Vertex operators, Weyl determinant formulae and Littlewood duality

Naihuan Jing·Benzhi Nie
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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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Naihuan Jing, Benzhi Nie. 2013-08-13. Vertex operators, Weyl determinant formulae and Littlewood duality. https://doi.org/10.1007/s00026-015-0271-z

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