Some New Identities for Schur Functions

Authors:
Frédéric Jouhet;Jiang Zeng
Affiliations:
Institut Girard Desargues, Université Claude Bernard (Lyon 1), 43, bd du 11 Novembre 1918, 69622, Villeurbanne Cedex, France;Institut Girard Desargues, Université Claude Bernard (Lyon 1), 43, bd du 11 Novembre 1918, 69622, Villeurbanne Cedex, France
Venue:
Advances in Applied Mathematics
Year:
2001

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Abstract

Some new identities for Schur functions are proved. In particular, we settle in the affirmative a recent conjecture of M. Ishikawa and M. Wakayama (1999, J. Combin. Theory, Ser. A88, 136-157) and solve a problem raised by D. Bressoud (2000, Ramanujan J.4, 69-80).