Commensurability and Arithmetic Equivalence for Orthogonal Hypergeometric Monodromy Groups

DOI10.1080/10586458.2018.1453424zbMath1444.22008arXiv1612.04300OpenAlexW2563603494MaRDI QIDQ5114454

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Publication date: 23 June 2020

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.04300

zbMATH Keywords

quadratic formmonodromy representationhypergeometric group

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Discrete subgroups of Lie groups (22E40) Monodromy; relations with differential equations and (D)-modules (complex-analytic aspects) (32S40)

Uses Software

• GAP
• SageMath

Cites Work

• Hyperbolic monodromy groups for the hypergeometric equation and Cartan involutions.
• Arithmeticity of some hypergeometric monodromy groups in Sp(4)
• Hypergeometric groups of orthogonal type
• Arithmetic subgroups of algebraic groups
• Non-arithmetic groups in Lobachevsky spaces
• Monodromy for the hypergeometric function \(_ nF_{n-1}\)
• Arithmeticity of certain symplectic hypergeometric groups
• Notes on Thin Matrix Groups
• Orthogonal Hypergeometric Groups with a Maximally Unipotent Monodromy
• Arithmeticity of Four Hypergeometric Monodromy Groups Associated to Calabi–Yau Threefolds: Table 1.
• Totally geodesic spectra of arithmetic hyperbolic spaces
• Thin monodromy in Sp(4)
• SOME MONODROMY GROUPS OF FINITE INDEX IN
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