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

Anders Skovsted Buch
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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.

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Anders Skovsted Buch. 2000-08-15. A Littlewood-Richardson rule for the K-theory of Grassmannians. https://arxiv.org/abs/math/0004137

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