Elementary proofs of identities for Schur functions and plane partitions

1998/08/25 by David M. Bressoud, Bressoud, David M.
Mathematics · #05A17 #11P81 #Combinatorics (math.CO) #FOS: Mathematics #math.CO #msc:05A17 #msc:11P81

paper · pdf · doi:10.48550/arxiv.math/9808107

arxiv created 1998/08/28 · arxiv updated 2009/11/30

Abstract

Elementary proofs are given for sums of Schur functions over partitions into at most n parts each less than or equal to m for which i) all parts are even, ii) all parts of the conjugate partition are even. Also, an elementary proof of a recent result of Ishikawa and Wakayama is given.

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