Theoretical Statistics and Mathematics Unit, ISI Delhi

April 17, 2013 (Wednesday) ,
3:30 PM at Webinar

Speaker:
Anirban Bose,
Indian Statistical Institute, Delhi

Title:
The compact Lie group $F_4$ is bireflectional

Abstract of Talk

Let $G$ be the compact Lie group of type $F_4$. An element
$g \in G$ is called a reflection if $g^2 = 1$. In this talk, we shall
show that every element of $G$ is bireflectional, i.e, for every $g
\in G$, there exist $g_1 , g_2 \in G$, such that $g_i ^2=1$ for $i=1,
2$ and $g=g_1g_2$.