Ternary forms as invariants of Markoff forms and other \(SL_2(\mathbb{Z})\)- bundles

DOI10.1016/0024-3795(87)90196-0zbMath0402.10020OpenAlexW1973805790MaRDI QIDQ1255512

Harvey Cohn

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1016/0024-3795(87)90196-0

zbMATH Keywords

Commutator SubgroupMarkoff FormsSl(Z)-BundlesTernary Form

Mathematics Subject Classification ID

Quadratic forms over global rings and fields (11E12) Discontinuous groups and automorphic forms (11F99)

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A class of new invariant surfaces under the trace maps for nary Fibonacci lattices ⋮ Equivalence between the Nielsen and the scaling transformations in one-dimensional quasiperiodic systems

Cites Work

• Additive commutators of rational \(2\times 2\) matrices
• Lattice subgroups of free congruence groups
• Markoff forms and primitive words
• Approach to Markoff's minimal forms through modular functions
• Minimum of quadratic forms with respect to Fuchsian groups. I.
• Representation of Markoff's binary quadratic forms by geodesics on a perforated torus
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