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arxiv: math/0004137 · v2 · submitted 2000-04-21 · 🧮 math.AG · math.CO· math.KT

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

Anders Skovsted Buch
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classification 🧮 math.AG math.COmath.KT
keywords k-theorygrassmanniansgrothendieckringstructurebasisbialgebracombinatorial
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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.

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