A t-generalization for Schubert Representatives of the Affine Grassmannian

Autor:	Dalal, Avinash J., Morse, Jennifer
Rok vydání:	2016
Předmět:	Mathematics - Combinatorics Mathematics - Algebraic Geometry
Zdroj:	DMTCS proc. AS, 2013, 1125-1136
Druh dokumentu:	Working Paper
Popis:	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. Comment: 12 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1605.04817 Zobrazit plný text záznamu View this record from Arxiv