A Littlewood-Richardson rule for the K-theory of Grassmannians

Anders Skovsted Buch

Type: Article

Publication Date: 2002-01-01

Citations: 253

DOI: https://doi.org/10.1007/bf02392644

Abstract

We prove an explicit combinatorial formula for the structure constants of the Grothendieck ring of a Grassmann variety with respect to its basis of Schubert structure sheaves. We furthermore relate K-theory of Grassmannians to a bialgebra of stable Grothendieck polynomials, which is a K-theory parallel of the ring of symmetric functions.

Locations

Acta Mathematica - View - PDF

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