Deformations of Weyl's denominator formula for sp(2n)

A M Hamel and R C King

To appear at Formal Power Series and Algebraic Combinatorics (FPSAC01), Tempe, Arizona (USA), May 20-26, 2001


Abstract

Tokuyama has given a formula that is a deformation of the Weyl denominator formula for sl(n). This formula can also be considered as a generalization of the ratio of alternants formula for Schur functions. Here we derive a symplectic version of Tokuyama's result, namely a deformation of Weyl's denominator formula for sp(2n). We further show how it specializes to give symplectic versions of a number of classical identities.


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