Thinness of some hypergeometric groups in \(\mathrm{Sp}(6)\)

DOI10.1017/S0017089524000168MaRDI QIDQ6648699

Shashank Vikram Singh, Sandip Singh

Publication date: 5 December 2024

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

symplectic groupfree groupmonodromy representationhypergeometric groupthin group

Mathematics Subject Classification ID

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)

Cites Work

• Title not available (Why is that?)
• Hyperbolic monodromy groups for the hypergeometric equation and Cartan involutions.
• Arithmeticity of some hypergeometric monodromy groups in Sp(4)
• Hypergeometric groups of orthogonal type
• Monodromy for the hypergeometric function \(_ nF_{n-1}\)
• Cohomology of symplectic groups and Meyer's signature theorem
• Arithmeticity of certain symplectic hypergeometric groups
• Image of the Burau representation at \(d\)-th roots of unity.
• Symplectic hypergeometric groups of degree six
• The ubiquity of thin 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.
• On orthogonal hypergeometric groups of degree five
• Thin monodromy in Sp(4)
• Groups of cohomological dimension one
• Experimenting with Symplectic Hypergeometric Monodromy Groups

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