K-theoretic Schubert calculus for OG(n, 2n + 1) and jeu de taquin for shifted increasing tableaux

Edward Clifford, Hugh Thomas, Alexander Yong

Research output: Contribution to journalArticlepeer-review

Abstract

We present a proof of a Littlewood-Richardson rule for the K-theory of odd orthogonal Grassmannians OG(n, 2n + 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, 2n + 1) that confirms a special case of the conjecture. Together, these results imply the aforementioned conjecture.

Original languageEnglish (US)
Pages (from-to)51-63
Number of pages13
JournalJournal fur die Reine und Angewandte Mathematik
Issue number690
DOIs
StatePublished - May 1 2014

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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