Stably Cayley semisimple groups

Mikhail Borovoi, Boris Kunyavskii

Research output: Contribution to journalArticlepeer-review


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 its Lie algebra Lie(G). A prototypical example is the classical "Cayley transform" for the special orthogonal group \boldSOn defined by Arthur Cayley in 1846. A linear algebraic group G is called stably Cayley if G×S is Cayley for some split k-torus S. We classify stably Cayley semisimple groups over an arbitrary field k of characteristic 0.
Original languageEnglish
Pages (from-to)85-112
Number of pages28
JournalDocumenta Mathematica
VolumeExtra vol.: Alexander S. Merkurjev's sixtieth birthday
StatePublished - 2015


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