Equivariant Pieri Rules For Isotropic Grassmannians

2014/06/18 by Changzheng Li, Li, Changzheng, Vijay Ravikumar +1
Mathematics · #05E15 #55N91 #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #FOS: Mathematics #Primary 14M15 #Secondary 14N15 #math.AG #math.CO #msc:05E15 #msc:14M15 #msc:14N15 #msc:55N91

paper · pdf · doi:10.48550/arxiv.1406.4680

26 pages

arxiv created 2015/07/07 · arxiv updated 2015/07/08

Abstract

We give a Pieri rule for the torus-equivariant cohomology of (submaximal) Grassmannians of Lie types B, C, and D. To the authors' best knowledge, our rule is the first manifestly positive formula, beyond the equivariant Chevalley formula. We also give a simple proof of the equivariant Pieri rule for the ordinary (type A) Grassmannian.

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