Mikhail Borovoi
Tel Aviv University , Israel
February 15, 2018
Cayley groups: I will start the talk from the classical "Cayley transform" for the special orthogonal group $SO(n)$ defined by Arthur Cayley in 1846. A connected linear algebraic group $G$ over $C$ 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 $G \times S$ is Cayley for some torus $S$. 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. (Based on joint works with Boris Kunyavskii and others.)
Tel Aviv University , Israel
February 15, 2018
Cayley groups: I will start the talk from the classical "Cayley transform" for the special orthogonal group $SO(n)$ defined by Arthur Cayley in 1846. A connected linear algebraic group $G$ over $C$ 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 $G \times S$ is Cayley for some torus $S$. 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. (Based on joint works with Boris Kunyavskii and others.)