The group SU_3 is Cayley
Algebraic Geometry
2012-12-11 v3 Group Theory
Abstract
A linear algebraic group G is over a field K is called a Cayley group if it admits a Cayley map, i.e., a G-equivariant K-birational isomorphism between the group variety G and its Lie algebra. We prove that the special unitary group in 3 variables SU_3 is a Cayley group over R, thus extending a result of V.L. Popov, who proved in 1975 that the special linear group in 3 variables SL_3 over an algebraically closed field of characteristic 0 is Cayley. We also discuss the question whether the R-group SL_{3,R} is Cayley.
Keywords
Cite
@article{arxiv.1211.4423,
title = {The group SU_3 is Cayley},
author = {Mikhail Borovoi},
journal= {arXiv preprint arXiv:1211.4423},
year = {2012}
}
Comments
This paper has been withdrawn by the author because it is superseded by arXiv:1212.1065