Orbits in Lattices

arXiv2205.10601MaRDI QIDQ6399773

Author name not available (Why is that?)

Publication date: 21 May 2022

Abstract: We exhibit algorithms for calculating Tits' buildings and orbits of vectors in a lattice $L$ for certain subgroups of $operatornameO(L)$. We discuss how these algorithms can be applied to understand the configuration of boundary components in the Baily-Borel compactification of orthogonal modular varieties and to improve the performance of computer arithmetic of orthogonal modular forms.

Has companion code repository: https://github.com/m-dawes/buildings

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