Skew Pieri Rules for Hall-Littlewood Functions

Autor:	Konvalinka, Matjaz, Lauve, Aaron
Rok vydání:	2012
Předmět:	Mathematics - Combinatorics Mathematics - Rings and Algebras Mathematics - Representation Theory 05E05 05E10 16T05 16T30 33D52
Druh dokumentu:	Working Paper
Popis:	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. Comment: 16 pages, 6 .eps files
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1201.1404 Zobrazit plný text záznamu View this record from Arxiv