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math.RT2018
Totally orthogonal finite simple groups
C. Ryan Vinroot
We prove that if is a finite simple group, then all irreducible complex representations of by be realized over the real numbers if and only if every element of may be w…
math.RT2018
Galois group action and Jordan decomposition of characters of finite reductive groups with connected center
Bhama Srinivasan, C. Ryan Vinroot
Let be a connected reductive group with connected center defined over , with Frobenius morphism F. Given an irreducible complex character of $\mathbf…
math.RT2018★ 5 cited
Fields of Character Values for Finite Special Unitary Groups
A. A. Schaeffer Fry, C. Ryan Vinroot
Turull has described the fields of values for characters of in terms of the parametrization of the characters of . In this article, we extend these results to th…