Last updates: 17 July 2012
The group is given by
since the center of
is , the nonzero constant multiples of the identity matrix.
and let be the adjoint representation, so that
and we compute
Note that contains
and so if is closed under square roots then
Notes and References
These notes follow Steinberg [St, ????].
Lectures on Chevalley groups, Notes prepared by John Faulkner and Robert Wilson,
Yale University, New Haven, Conn., 1968. iii+277 pp.