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Towards a supercharacter theory of the parabolic subgroups

Representation Theory 2017-09-19 v1

Abstract

The supercharacter theory is constructed for the parabolic subgroups of GL(n,\Fq)\mathrm{GL}(n,\Fq) with blocks of orders less or equal to two. The author formulated the hypotheses on construction of a supercharacter theory for an arbitrary parabolic subgroup in GL(n,\Fq)\mathrm{GL}(n,\Fq).

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Cite

@article{arxiv.1709.05535,
  title  = {Towards a supercharacter theory of the parabolic subgroups},
  author = {A. N. Panov},
  journal= {arXiv preprint arXiv:1709.05535},
  year   = {2017}
}

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22 pages