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

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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.
This revision adds proofs of some unpublished results of A. Knutson regarding triple intersections of schubert structure sheaves, as well as an announcement from A. Lascoux that he can prove our Conjecture 6.14

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Algebraic Geometry, Combinatorics, K-Theory and Homology, 14M15 (Primary) 19E08, 05E05, 05E10 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/59056

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0004137
 http://arxiv.org/abs/math/0004137

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arXiv