K-theoretic Schubert calculus for OG.n; 2nC 1/ and jeu de taquin for shifted increasing tableaux
نویسنده
چکیده
We present a proof of a Littlewood–Richardson rule for the K-theory of odd orthogonal Grassmannians OG.n; 2n C 1/, as conjectured by Thomas–Yong (2009). Specifically, we prove that rectification using the jeu de taquin for increasing shifted tableaux introduced there, is well-defined and gives rise to an associative product. Recently, Buch–Ravikumar (2012) proved a Pieri rule for OG.n; 2nC1/ that confirms a special case of the conjecture. Together, these results imply the aforementioned conjecture.
منابع مشابه
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