Matjaž Konvalinka ; Aaron Lauve - Skew Pieri Rules for Hall-Littlewood Functions

dmtcs:3054 - Discrete Mathematics & Theoretical Computer Science, January 1, 2012, DMTCS Proceedings vol. AR, 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012) - https://doi.org/10.46298/dmtcs.3054
Skew Pieri Rules for Hall-Littlewood FunctionsArticle

Authors: Matjaž Konvalinka 1; Aaron Lauve 2

  • 1 Department of Mathematics
  • 2 Department of Mathematics and Statistics [Chicago]

We produce skew Pieri Rules for Hall–Littlewood functions in the spirit of Assaf and McNamara (FPSAC, 2010). The first two were conjectured by the first author (FPSAC, 2011). The key ingredients in the proofs are a q-binomial identity for skew partitions that are horizontal strips and a Hopf algebraic identity that expands products of skew elements in terms of the coproduct and antipode.

https://doi.org/10.46298/dmtcs.3054
Source: HAL:hal-01283164v1
Volume: DMTCS Proceedings vol. AR, 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012)
Section: Proceedings
Published on: January 1, 2012
Imported on: January 31, 2017
Keywords: Pieri Rules, Hall―Littlewood functions,[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]

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