Email this article On Some Free Algebras of Automorphic Forms
- Authors: Vinberg E.B.1
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Affiliations:
- Mechanics and Mathematics Faculty, Lomonosov Moscow State University
- Issue: Vol 52, No 4 (2018)
- Pages: 270-289
- Section: Article
- URL: https://journals.rcsi.science/0016-2663/article/view/234542
- DOI: https://doi.org/10.1007/s10688-018-0237-0
- ID: 234542
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Abstract
It is proved that, for n = 8, 9, 10, the natural algebra of automorphic forms of the group O+2,n(ℤ) acting on the n-dimensional symmetric domain of type IV is free, and the weights of generators are found. This extends results obtained in the author’s previous paper for n ≤ 7. On the other hand, as proved in a recent joint paper of the author and O. V. Shvartsman, similar algebras of automorphic forms cannot be free for n > 10.
About the authors
E. B. Vinberg
Mechanics and Mathematics Faculty, Lomonosov Moscow State University
Author for correspondence.
Email: evinberg@gmail.com
Russian Federation, Moscow
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