# Real reductive Cayley groups of rank 1 and 2

@article{Borovoi2012RealRC, title={Real reductive Cayley groups of rank 1 and 2}, author={Mikhail Borovoi and Igor Dolgachev}, journal={arXiv: Algebraic Geometry}, year={2012} }

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.

#### One Citation

Stably Cayley Groups in Characteristic Zero

- Mathematics
- 2014

A linear algebraic group G over a field k is called a Cayley group if it admits a Cayley map, i.e., a G-equivariant birational isomorphism over k between the group variety G and the Lie algebra… Expand

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