A matrix representation for automorphisms of compact Riemann surfaces

DOI10.1016/0024-3795(77)90034-9zbMath0363.30027OpenAlexW1972776439MaRDI QIDQ1240337

Jane Gilman

Publication date: 1977

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(77)90034-9

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Related Items (8)

An Example about Normalizers in Mapping Class Groups ⋮ Surface symmetry and homology ⋮ \(q\)-étale covers of cyclic \(p\)-gonal covers ⋮ A transcendental method for the study of automorphisms of a closed Riemann surface ⋮ Finite abelian subgroups of the mapping class group ⋮ Canonical symplectic representations for prime order conjugacy classes of the mapping-class group ⋮ A canonical form for a symplectic involution ⋮ Topologically unique maximal elementary Abelian group actions on compact oriented surfaces

Cites Work

• On conjugacy classes in the Teichmüller modular group
• Automorphisms of Riemann surfaces
• The Integrable automorphic forms as a dual space, II
• Analytic self-mapping inducing the identity on $H(W Z/(mZ))$
• On Branch Loci in Teichmuller Space
• Action of Automorphisms of a Compact Riemann Surface on the First Homology Group
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