Skew Pieri Rules for Hall-Littlewood Functions

Details Skew Pieri Rules for Hall-Littlewood Functions Skew Pieri Rules for Hall-Littlewood Functions

2012-01-06

arxiv.org/abs/1201.1404v1

Mathematics

Combinatorics

16 pages, 6 .eps files

Scientific paper

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.

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