Highly Influenced

# Conformal and Quasiconformal Realizations of Exceptional Lie Groups

@inproceedings{Gnaydin2001ConformalAQ, title={Conformal and Quasiconformal Realizations of Exceptional Lie Groups}, author={Murat G{\"u}naydin}, year={2001} }

- Published 2001

We present a nonlinear realization of E8(8) on a space of 57 dimensions, which is quasiconformal in the sense that it leaves invarian t a suitably defined “light cone” in R. This realization, which is related to the Freudenthal triple system associated with the unique exceptional Jorda n algebra over the split octonions, contains previous conformal realization s f the lower rank exceptional Lie groups on generalized space times, and in pa rticul r a conformal realization ofE7(7) on R which we… CONTINUE READING