On the variety of Lagrangian subalgebras
| dc.creator | Evens, Sam | |
| dc.creator | Lu, Jiang-Hua | |
| dc.date | 1999-09-01 | |
| dc.date.accessioned | 2026-07-07T05:30:36Z | |
| dc.date.available | 2026-07-07T05:30:36Z | |
| dc.description | We study Lagrangian subalgebras of a semisimple Lie algebra with respect to the imaginary part of the Killing form. We show that the variety $\Lagr$ of Lagrangian subalgebras carries a natural Poisson structure $Π$. We determine the irreducible components of $\Lagr$, and we show that each irreducible component is a smooth fiber bundle over a generalized flag variety, and that the fiber is the product of the real points of a De Concini-Procesi compactification and a compact homogeneous space. We study some properties of the Poisson structure $Π$ and show that it contains many interesting Poisson submanifolds. | |
| dc.identifier | https://arxiv.org/abs/math/9909005 | |
| dc.identifier | http://arxiv.org/abs/math/9909005 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79041 | |
| dc.subject | Differential Geometry | |
| dc.title | On the variety of Lagrangian subalgebras | |
| dc.type | text |