A Littlewood-Richardson rule for dual stable Grothendieck polynomials

摘要

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. (C) 2017 Elsevier Inc. All rights reserved.