English

Real irreducible representations of SL(2,q) and their fixed point dimensions for cyclic subgroups

Representation Theory 2019-08-26 v1

Abstract

We compute the characters of real irreducible representations of SL(2,q), the special linear group on q letters, for an odd prime qq. Moreover, we give the dimensions of these irreducible representations under the actions of cyclic subgroups of SL(2,q).

Keywords

Cite

@article{arxiv.1908.08848,
  title  = {Real irreducible representations of SL(2,q) and their fixed point dimensions for cyclic subgroups},
  author = {Piotr Mizerka},
  journal= {arXiv preprint arXiv:1908.08848},
  year   = {2019}
}