Skew Pieri Rules for Hall-Littlewood Functions
Combinatorics
2012-01-09 v1 Rings and Algebras
Representation Theory
Abstract
We produce skew Pieri Rules for Hall--Littlewood functions in the spirit of Assaf and McNamara. The first two were conjectured by the first author. The key ingredients in the proofs are a q-binomial identity for skew partitions and a Hopf algebraic identity that expands products of skew elements in terms of the coproduct and the antipode.
Keywords
Cite
@article{arxiv.1201.1404,
title = {Skew Pieri Rules for Hall-Littlewood Functions},
author = {Matjaz Konvalinka and Aaron Lauve},
journal= {arXiv preprint arXiv:1201.1404},
year = {2012}
}
Comments
16 pages, 6 .eps files