Siegel upper half-space

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In mathematics, the Siegel upper half-space of degree g (or genus g) (also called the Siegel upper half-plane) is the set of g × g symmetric matrices over the complex numbers whose imaginary part is positive definite. It was introduced by Siegel (1939).

In the case g = 1, the Siegel upper half-space is the well-known upper half-plane.

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