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Cayley groups

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Cayley groups

I will start the talk with the classical Cayley transform for the special orthogonal group SO(n) defined by Arthur Cayley in 1846. A connected linear algebraic group G over a field K is called a Cayley group if it admits a Cayley map, that is, a G-equivariant birational isomorphism between the group variety G and its Lie algebra Lie(G). For example, SO(n) is a Cayley group. A linear algebraic group G is called stably Cayley if G x (K*)^r is Cayley for some natural number r. I will consider semisimple algebraic groups, in particular, simple algebraic groups. I will describe classification of Cayley simple groups and of stably Cayley semisimple groups over an algebraically closed field of characteristic 0 (Based on joint works with Boris Kunyavskii and others).

- Variétés rationnelles

Détails :

Orateur / Oratrice : Mikhail Borovoi
Date : 22 septembre 2017
Horaire : 15h00 - 16h00
Lieu : ENS Salle W