printable pdf
比利时vs摩洛哥足彩 ,
university of california san diego

****************************

math 295 - mathematics colloquium

bertram kostant

mit

geometric quantization and the emergence of the five exceptional groups

abstract:

in contrast to marsden-weinstein reduction we introduce the notion of symplectic induction that raises dimensions rather than lowering them. we show that the symplectic induction of certain coadjoint orbits of a lie group $g$ lead to coadjoint orbits of a larger group. in particular, coadjoint orbits of the five exceptional groups arise from certain coadjoint orbits of classical groups. for example, tits-koecher machinary associates to certain jordan algebras coadjoint orbits of a compact lie compact classical group. the split forms of $e_{6}$. $e_{7}$ and $e_{8}$ arise, respectively, from the symplectic induction of the coadjoint orbits associated to rank 1 joradan algebras over the reals, complexes and quaternions.

host: nolan wallach

february 24, 2005

3:00 pm

ap&m 6438

****************************