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Lattice Paths and a Sergeev-Pragacz Formula for Skew Supersymmetric Functions
Published online by Cambridge University Press: 20 November 2018
Abstract
We obtain a new version of the Sergeev–Pragacz formula for supersymmetric functions of standard shape–one applicable to arbitrary skew shape. The result involves an antisymmetrized sum of determinants that are themselves flagged supersymmetric functions. The proof is combinatorial, and follows by means of lattice path transformations.
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- Copyright © Canadian Mathematical Society 1995
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