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$$K$$-theory of minuscule varieties. (English) Zbl 1431.19001
Summary: 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.

##### MSC:
 19E99 $$K$$-theory in geometry 14M15 Grassmannians, Schubert varieties, flag manifolds
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