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

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

2000-04-21

arxiv.org/abs/math/0004137v2

Mathematics

Algebraic Geometry

This revision adds proofs of some unpublished results of A. Knutson regarding triple intersections of schubert structure sheav

Scientific paper

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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