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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Representation Theory Colloquium
Bertram Kostant
MIT
Minimal coadjoint orbits and symplectic induction
Abstract:
Let $(X,w)$ be an integral symplectic manifold and let $(L,Delta)$ be a quantum line bundle, with connection, over X having w as curvature. With this data, one can define an induced symplectic manifold Y with $/dim(Y) = dim(X)+2$. This is applied to show that the 5 split exceptional Lie groups arise symplectically from the symplectic induction of coadjoint orbits of certain classical groups.
Host: Wee Teck Gan and Nolan Wallach
January 20, 2004
1:30 PM
AP&M 7321
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