A Littlewood-Richardson rule for factorial Schur functions

A Littlewood-Richardson Rule for factorial Schur functions

We give a combinatorial rule for calculating the coe cients 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 coe cients in the expansion of a skew factorial Schur function. Applications to Capelli operators and quantum immanants are also given.

A Littlewood-Richardson type rule for row-strict quasisymmetric Schur functions

We establish several properties of an algorithm defined by Mason and Remmel (2010) which inserts a positive integer into a row-strict composition tableau. These properties lead to a Littlewood-Richardson type rule for expanding the product of a row-strict quasisymmetric Schur function and a symmetric Schur function in terms of row-strict quasisymmetric Schur functions. Résumé. Nous établissons ...

Littlewood-Richardson rules for symmetric skew quasisymmetric Schur functions

The classical Littlewood-Richardson rule is a rule for computing coefficients in many areas, and comes in many guises. In this paper we prove two Littlewood-Richardson rules for symmetric skew quasisymmetric Schur functions that are analogous to the famed version of the classical Littlewood-Richardson rule involving Yamanouchi words. Furthermore, both our rules contain this classical Littlewood...

A Geometric Littlewood-richardson Rule

We describe an explicit geometric Littlewood-Richardson rule, interpreted as deforming the intersection of two Schubert varieties so that they break into Schubert varieties. There are no restrictions on the base field, and all multiplicities arising are 1; this is important for applications. This rule should be seen as a generalization of Pieri’s rule to arbitrary Schubert classes, by way of ex...

Reduced Schur Functions and the Littlewood-richardson Coefficients