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