Real reductive Cayley groups of rank 1 and 2

Mikhail Borovoi*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


A linear algebraic group G 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.

Original languageEnglish
Pages (from-to)35-60
Number of pages26
JournalJournal of Algebra
StatePublished - 5 Aug 2015


  • Algebraic surface
  • Cayley group
  • Cayley map
  • Elementary link
  • Equivariant birational isomorphism
  • Linear algebraic group


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