Towards a combinatorial classification of skew Schur functions

Details Towards a combinatorial classification of skew Schur functions Towards a combinatorial classification of skew Schur functions

2006-08-17

arxiv.org/abs/math/0608446v3

Transactions of the American Mathematical Society, 361 (8) (2009), 4437-4470

Mathematics

Combinatorics

34 pages, 2 figures. Minor changes. Final version, to appear in Transactions of the AMS

Scientific paper

We present a single operation for constructing skew diagrams whose
corresponding skew Schur functions are equal. This combinatorial operation
naturally generalises and unifies all results of this type to date. Moreover,
our operation suggests a closely related condition that we conjecture is
necessary and sufficient for skew diagrams to yield equal skew Schur functions.

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