Corpus ID: 237571679

On Sch\"utzenberger modules of the cactus group

  title={On Sch\"utzenberger modules of the cactus group},
  author={Jongmin Lim and Oded Yacobi},
  • Jongmin Lim, Oded Yacobi
  • Published 20 September 2021
  • Mathematics
The cactus group acts on the set of standard Young tableau of a given shape by (partial) Schützenberger involutions. It is natural to extend this action to the corresponding Specht module by identifying standard Young tableau with the Kazhdan-Lusztig basis. We term these representations of the cactus group “Schützenberger modules”, denoted S Sch, and in this paper we investigate their decomposition into irreducible components. We prove that when λ is a hook shape, the cactus group action on S… Expand


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