English

Core blocks for Hecke algebras of type B and sign sequences

Representation Theory 2024-01-08 v2

Abstract

We consider the core blocks corresponding to the Hecke algebras of type B over a field of arbitrary characteristic. To each core block B, we associate two non-negative integers which determine the indexing of the Specht modules and simple modules in the block, the weight of the block, the multicharge of the algebra (up to a shift) and the block decomposition matrix.

Keywords

Cite

@article{arxiv.2307.16319,
  title  = {Core blocks for Hecke algebras of type B and sign sequences},
  author = {Sinead Lyle},
  journal= {arXiv preprint arXiv:2307.16319},
  year   = {2024}
}