English

New supercharacter theory for Sylow subgroups in orthogonal and symplectic groups

Representation Theory 2018-08-28 v1

Abstract

Applying the embedding of An1A_{n-1} in BnB_n, CnC_n and DnD_n we construct a new supercharacter theory for the Sylow subgroups in orthogonal and symplectic groups over a finite field. The constructed supercharacter appears to be a little bit more precise than the previously known one.

Keywords

Cite

@article{arxiv.1808.08539,
  title  = {New supercharacter theory for Sylow subgroups in orthogonal and symplectic groups},
  author = {A. N. Panov},
  journal= {arXiv preprint arXiv:1808.08539},
  year   = {2018}
}

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15 pages