JOURNAL ARTICLE
Free algebras of Hilbert automorphic forms
Year: 2019 Journal: Russian Mathematical Surveys Vol: 74 (1)Pages: 178-180 Publisher: IOP Publishing
Abstract
Let d > 0 be a square-free integer, and let Ld be the corresponding Hilbert lattice. Suppose given a finite-index subgroup Γ of O+(Ld) generated by reflections and containing -id and let A(Γ) be the algebra of Γ-automorphic forms. It is proved that if the algebra A(Γ) is free, then d ∈ {2, 3, 5, 6,13, 21}.
Keywords:
Mathematics Pure mathematics Algebra over a field
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Topics
Advanced Algebra and Geometry
Physical Sciences → Mathematics → Mathematical Physics
Algebraic Geometry and Number Theory
Physical Sciences → Mathematics → Geometry and Topology
Finite Group Theory Research
Physical Sciences → Mathematics → Discrete Mathematics and Combinatorics
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