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The norm and the evaluation of the Macdonald polynomials in superspace

Published 15 Aug 2018 in math.CO | (1808.04941v1)

Abstract: We demonstrate the validity of previously conjectured explicit expressions for the norm and the evaluation of the Macdonald polynomials in superspace. These expressions, which involve the arm-lengths and leg-lengths of the cells in certain Young diagrams, specialize to the well known formulas for the norm and the evaluation of the usual Macdonald polynomials.

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