A Littlewood-Richardson Rule for factorial Schur functions

Details A Littlewood-Richardson Rule for factorial Schur functions A Littlewood-Richardson Rule for factorial Schur functions

1997-07-23

arxiv.org/abs/q-alg/9707028v1

Mathematics

Quantum Algebra

19 pages, Latex

Scientific paper

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. Multiplication rules for the Capelli operators
and quantum immanants are also given.

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