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

Bhama Srinivasan, C. Ryan Vinroot

Published 2014-08-08Version 1

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.