A proof of $K$-theoretic Littlewood-Richardson rules by Bender-Knuth-type involutions

Type: Article

Publication Date: 2014-01-01

Citations: 23

DOI: https://doi.org/10.4310/mrl.2014.v21.n2.a10

Abstract

The K-theoretic Littlewood-Richardson rule due to A. Buch describes the product structure constants for the Grothendieck polynomials of Grassmannian type.We present a simple self-contained proof of the rule by generalizing Stembridge's cancelation argument which was applied for the classical Littlewood-Richardson rule.

Locations

  • Mathematical Research Letters - View - PDF

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