Real reductive Cayley groups of rank 1 and 2
Algebraic Geometry
2021-01-05 v4 Group Theory
Abstract
A linear algebraic group G is over a field K is called a Cayley K-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 classify real reductive algebraic groups of absolute rank 1 and 2 that are Cayley R-groups.
Keywords
Cite
@article{arxiv.1212.1065,
title = {Real reductive Cayley groups of rank 1 and 2},
author = {Mikhail Borovoi and Igor Dolgachev},
journal= {arXiv preprint arXiv:1212.1065},
year = {2021}
}
Comments
24 pages. Igor Dolgachev is the author of Appendix A. New Appendix B contributed by the anonymous referee has been added. Final version, to appear in J. Algebra