Quadratic forms of skew Schur functions (Q1106222)

The skew Schur function is a generating function for skew column-strict plane partitions. The author uses non-intersecting path representations of such partitions to prove a quadratic identity for skew Schur functions. Such expansions had been proved by A. Lascoux (unpublished) using the Jacobi-Trudi identity and work with determinants. The author derives a family of quadratic expansions for the product of an arbitrary pair of skew Schur functions, a special case of which is the main result of Lascoux.