A Littlewood-Richardson Rule for factorial Schur functions

Research Report MRR97-019

A Littlewood-Richardson Rule for factorial Schur functions

Alexander I. Molev, Bruce E. Sagan

Abstract: We give a combinatorial rule for calculating the coefficients in the expansion of a product of two factorial Schur functions. It is a special case of a more general rule which also gives the coefficients in the expansion of a skew factorial Schur function. Applications to Capelli operators and quantum immanants are also given.

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