Email this article Free Algebras of Hilbert Automorphic Forms
- Authors: Stuken E.S.1
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Affiliations:
- National Research University Higher School of Economics
- Issue: Vol 53, No 1 (2019)
- Pages: 37-50
- Section: Article
- URL: https://journal-vniispk.ru/0016-2663/article/view/234691
- DOI: https://doi.org/10.1007/s10688-019-0247-6
- ID: 234691
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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}.
About the authors
E. S. Stuken
National Research University Higher School of Economics
Author for correspondence.
Email: katyastuken@yandex.ru
Russian Federation, Moscow
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