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- W4298270787 abstract "The Siegel upper half space, $mathcal{S}_n$, the space of complex symmetric matrices, $Z$ with positive definite imaginary part, is the generalization of the complex upper half plane in higher dimensions. In this paper, we study a generalization of linear fractional transformations, $Phi_S$, where $S$ is a complex symplectic matrix, on the Siegel upper half space. We partially classify the complex symplectic matrices for which $Phi_S(Z)$ is well defined. We also consider $mathcal S_n$ and $overline{mathcal S}_n$ as metric spaces and discuss distance properties of the map $Phi_S$ from $mathcal S_n$ to $mathcal{S}_n$ and $overline{mathcal S}_n$ respectively." @default.
- W4298270787 created "2022-10-01" @default.
- W4298270787 creator A5053095491 @default.
- W4298270787 creator A5054770255 @default.
- W4298270787 date "2017-11-21" @default.
- W4298270787 modified "2023-09-29" @default.
- W4298270787 title "Action of complex Symplectic matrices on the Siegel upper half space" @default.
- W4298270787 doi "https://doi.org/10.48550/arxiv.1711.07747" @default.
- W4298270787 hasPublicationYear "2017" @default.
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