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Title: Real vs. Strongly Real Elements in Algebraic Groups
Speaker: Dr. Anupam Kumar Singh, TIFR, Mumbai
Date: 27 February 2007
Time: 4.00 p.m.
Venue: Lecture Hall - II, Dept. of Mathematics

Let $k$ be a field of characteristic not 2 and $G$ be an algebraic group defined over $k$. An element $t$ in $G(k)$ is called real if there exists $g \in G(k)$ such that $gtg^{-1}=t^{-1}$. An element $t\in G(k)$ is called strongly real if $t=\tau_1\tau_2$ where $\tau_i\in G(k)$ and $\tau_i^2=1$. We discuss when a semisimple real element is strongly real in $G(k)$. We investigate this question for classical groups and the groups of type $G_2$ in detail.

Contact: +91 (80) 2293 2711, +91 (80) 2293 2265 ;     E-mail: chair.math[at]iisc[dot]ac[dot]in
Last updated: 27 Feb 2024