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SUMMARY:`Cayley groups'
DTSTART;VALUE=DATE-TIME:20180215T103000Z
DTEND;VALUE=DATE-TIME:20180215T113000Z
DTSTAMP;VALUE=DATE-TIME:20180225T111728Z
UID:indico-event-6220@cern.ch
DESCRIPTION:Abstract:\n I will start the talk from the classical "Cayley t
ransform" 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 g
roup* if it admits a *Cayley map*\, that is\, a G-equivariant birational i
somorphism between the group variety G and its Lie algebra Lie(G). For exa
mple\, SO(n) is a Cayley group. A linear algebraic group G is called *sta
bly Cayley* if G x S is Cayley for some torus S. I will consider semisimpl
e algebraic groups\, in particular\, simple algebraic groups. I will descr
ibe classification of Cayley simple groups and of stably Cayley semisimple
groups. (Based on joint works with Boris Kunyavskii and others.)\n\nhttps
://indico.tifr.res.in/indico/conferenceDisplay.py?confId=6220
LOCATION:TIFR\, Mumbai AG-69
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=6220
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