Geodesic
On holomorphic representations of discrete Heisenberg groups
Funkcionalʹnyj analiz i ego priloženiâ, Tome 44 (2010) no. 2, pp. 92-96.

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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. 
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A. N. Parshin. On holomorphic representations of discrete Heisenberg groups. Funkcionalʹnyj analiz i ego priloženiâ, Tome 44 (2010) no. 2, pp. 92-96. http://geodesic.mathdoc.fr/item/FAA_2010_44_2_a9/

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