Lattice Paths and a Sergeev-Pragacz Formula for Skew Supersymmetric Functions
Canadian journal of mathematics, Tome 47 (1995) no. 2, pp. 364-382

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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.
DOI : 10.4153/CJM-1995-020-9
Mots-clés : 05E05, 05A15, 15A15
Hamel, A. M.; Goulden, I. P. Lattice Paths and a Sergeev-Pragacz Formula for Skew Supersymmetric Functions. Canadian journal of mathematics, Tome 47 (1995) no. 2, pp. 364-382. doi: 10.4153/CJM-1995-020-9
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