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This article is cited in 9 scientific papers (total in 10 papers)
Brief communications
On holomorphic representations of discrete Heisenberg groups
A. N. Parshin Steklov Mathematical Institute, Russian Academy of Sciences
Abstract:
We define a class of monomial not necessary unitary representations of discrete Heisenberg groups. Their moduli space is a complex-analytic manifold. There exist characters of the representations which are automorphic forms on the moduli space.
Keywords:
discrete Heisenberg group, induced representation, character, theta function.
Received: 28.12.2009
Citation:
A. N. Parshin, “On holomorphic representations of discrete Heisenberg groups”, Funktsional. Anal. i Prilozhen., 44:2 (2010), 92–96; Funct. Anal. Appl., 44:2 (2010), 156–159
Linking options:
https://www.mathnet.ru/eng/faa2992https://doi.org/10.4213/faa2992 https://www.mathnet.ru/eng/faa/v44/i2/p92
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