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On Some Free Algebras of Automorphic Forms

Vinberg, E. B.

Functional analysis and its applications, 2018-10, Vol.52 (4), p.270-289 [Periódico revisado por pares]

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Título:
On Some Free Algebras of Automorphic Forms
Autor: Vinberg, E. B.
Assuntos: Algebra ; Analysis ; Functional Analysis ; Mathematics ; Mathematics and Statistics
É parte de: Functional analysis and its applications, 2018-10, Vol.52 (4), p.270-289
Descrição: 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.
Editor: New York: Springer US
Idioma: Inglês

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