On holomorphic representations of discrete Heisenberg groups

On holomorphic representations of discrete Heisenberg groups

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.

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Veröffentlicht in:Functional analysis and its applications 2010-06, Vol.44 (2), p.156-159
1. Verfasser: Parshin, A. N.
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Functional Analysis
Mathematics
Mathematics and Statistics
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Beschreibung
Zusammenfassung: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.
ISSN:0016-2663
1573-8485
DOI:10.1007/s10688-010-0020-3