| Wed, Sep 27, 2017
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Lie Groups Seminar
4:30 PM
MSCS 509 | | Nilpotent Orbits and Group Actions on the Flag Variety (A Combinatorial Approach), Part C
Leticia Barchini and Nina Williams, a Duet, OSU
| | | Abstract: We consider the pair of complex Lie groups $$(G, K) = \left(Sp(2n,\mathbb C),GL(n,\mathbb C)\right).$$ The group $K$ acts with a finite number of orbits on the flag variety $\mathfrak B$.
The moment map, $\mu$, identifies the closure of the conormal bundle $T^*_{\EuScript Q}$ to a $K$-orbit $\EuScript Q$ in $\mathfrak B$ with the closure of a nilpotent $K$-orbit.
We study the geometric cell $\mu^{-1}( \mathcal O_K)$ and describe, in a combinatorial manner, a non-exhaustive subset of $\mu^{-1}(O_K)$. |
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