Jordan decomposition and real-valued characters of finite reductive groups with connected center

Bhama Srinivasan; C. Ryan Vinroot

doi:10.1112/blms/bdv020

Jordan decomposition and real-valued characters of finite reductive groups with connected center

Representation Theory 2017-05-04 v1

Authors: Bhama Srinivasan , C. Ryan Vinroot

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Abstract

Let $\bf{G}$ be a connected reductive group with connected center defined over $\mathbb{F}_q$ , with Frobenius morphism $F$ . We parameterize all of the real-valued irreducible complex characters of ${\bf G}^F$ using the Jordan decomposition of characters.

Keywords

finite reductive groups Jordan decomposition real-valued characters connected center Frobenius morphism

Cite

@article{arxiv.1408.1910,
  title  = {Jordan decomposition and real-valued characters of finite reductive groups with connected center},
  author = {Bhama Srinivasan and C. Ryan Vinroot},
  journal= {arXiv preprint arXiv:1408.1910},
  year   = {2017}
}

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