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Isomorphisms between simple modules of degenerate cyclotomic Hecke algebras

Representation Theory 2023-07-19 v1

Abstract

We give explicit isomorphisms between simple modules of degenerate cyclotomic Hecke algebras defined via various cellular bases. A special case gives a generalized Mullineux involution in the degenerate case.

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Cite

@article{arxiv.2307.09285,
  title  = {Isomorphisms between simple modules of degenerate cyclotomic Hecke algebras},
  author = {Hebing Rui and Linliang Song},
  journal= {arXiv preprint arXiv:2307.09285},
  year   = {2023}
}

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21 pages