Products of Factorial Schur Functions

Details Products of Factorial Schur Functions Products of Factorial Schur Functions

2007-12-31

arxiv.org/abs/0801.0233v2

Mathematics

Combinatorics

10 pages; v2: result generalized slightly, references added, minor corrections in section 4

Scientific paper

The product of any finite number of factorial Schur functions can be expanded
as a $Z[y]$-linear combination of Schur functions. We give a rule for computing
the coefficients in such an expansion which generalizes a specialization of the
Molev-Sagan rule, which in turn generalizes the classical Littlewood-Richardson
rule.

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