K-theory of minuscule varieties
Algebraic Geometry
2013-06-25 v1 Combinatorics
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.
Keywords
Cite
@article{arxiv.1306.5419,
title = {K-theory of minuscule varieties},
author = {Anders Skovsted Buch and Matthew J. Samuel},
journal= {arXiv preprint arXiv:1306.5419},
year = {2013}
}
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37 pages