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arXiv · 1306.5419

K-theory of minuscule varieties

Anders Skovsted Buch·Matthew J. Samuel
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Abstract

Based on Thomas and Yong's K-theoretic jeu de taquin algorithm, we prove a uniform Littlewood-Richardson rule for the K-theoretic Schubert structure constants of all minuscule homogeneous spaces. Our formula is new in all types. For the main examples of Grassmannians of type A and maximal orthogonal Grassmannians it has the advantage that the tableaux to be counted can be recognized without reference to the jeu de taquin algorithm.

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Anders Skovsted Buch, Matthew J. Samuel. 2013-06-23. K-theory of minuscule varieties. https://arxiv.org/abs/1306.5419

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