Normalizers of maximal tori and real forms of Lie groups

Anton A. Gerasimov, Dmitry R. Lebedev, Sergey V. Oblezin

Given a complex connected reductive Lie group $G$ with a maximal torus $H\subset G$, Tits defined an extension $W_G^T$ of the corresponding Weyl group $W_G$. The extended group is…