Coincidences among skew Schur functions

Details Coincidences among skew Schur functions Coincidences among skew Schur functions

2006-02-27

arxiv.org/abs/math/0602634v4

Mathematics

Combinatorics

33 pages; fixes incorrect proof of Corollary 6.3 on irreducibility of skew Schur functions associated to connected skew diagra

Scientific paper

New sufficient conditions and necessary conditions are developed for two skew
diagrams to give rise to the same skew Schur function. The sufficient
conditions come from a variety of new operations related to ribbons (also known
as border strips or rim hooks). The necessary conditions relate to the extent
of overlap among the rows or among the columns of the skew diagram.

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