Siegel upper half-space
In mathematics, given a positive integer g {\displaystyle g} , the Siegel upper half-space H g {\displaystyle {\mathcal {H}}_{g}} of degree g {\displaystyle g} is the set of g × g {\displaystyle g\times g} symmetric matrices over the complex numbers whose imaginary part is positive definite. It was introduced by Siegel (1939).