A t-generalization for Schubert Representatives of the Affine Grassmannian
Combinatorics
2016-05-17 v1 Algebraic Geometry
Abstract
We introduce two families of symmetric functions with an extra parameter t that specialize to Schubert representatives for cohomology and homology of the affine Grassmannian when t = 1. The families are defined by a statistic on combinatorial objects associated to the type-A affine Weyl group and their transition matrix with Hall-Littlewood polynomials is t-positive. We conjecture that one family is the set of k-atoms.
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Cite
@article{arxiv.1605.04817,
title = {A t-generalization for Schubert Representatives of the Affine Grassmannian},
author = {Avinash J. Dalal and Jennifer Morse},
journal= {arXiv preprint arXiv:1605.04817},
year = {2016}
}
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12 pages