Prasad’s Conjecture About Dualizing Involutions
Prasad’s Conjecture About Dualizing Involutions
Abstract Let $G$ be a connected reductive group defined over a finite field ${\mathbb{F}}_{q}$ with corresponding Frobenius $F$. Let $\iota _{G}$ denote the duality involution defined by D. Prasad under the hypothesis $2\textrm{H}^{1}(F,Z(G))=0$, where $Z(G)$ denotes the center of $G$. We show that for each irreducible character $\rho $ of …