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Siegel upper half plane
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In mathematics, a Siegel upper half plane is the set of n×n symmetric matrices over the complex number field with their imaginary part being positive definite. The name is for C. L. Siegel.
For example, when n = 1, the Siegel upper half plane is the upper half plane.
There is a group action of the symplectic group
- Sp2n(R)
on the Siegel upper half plane, where
Define
.
Last updated: 05-31-2005 01:56:30
10-26-2009 08:16:03
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The contents of this article is licensed from www.wikipedia.org under the GNU Free Documentation License. Click here to see the transparent copy and copyright details