A Littlewood-Richardson Rule for Dual Stable Grothendieck Polynomials

Abstract

For a given skew shape, we build a crystal graph on the set of all reverse plane partitions that have this shape. As a consequence, we get a simple extension of the Littlewood-Richardson rule for the expansion of the corresponding dual stable Grothendieck polynomial in terms of Schur polynomials.

References in corpus (1)

• Refined dual stable Grothendieck polynomials and generalized Bender-Knuth involutions

Cited by in corpus (5)

• Hook formulas for skew shapes I. $q$-analogues and bijections
• Crystal structures for canonical Grothendieck functions
• Crystal structures for symmetric Grothendieck polynomials
• Positive specializations of symmetric Grothendieck polynomials
• Asymmetric function theory