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

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{FAA_2010_44_2_a9,
     author = {A. N. Parshin},
     title = {On holomorphic representations of discrete {Heisenberg} groups},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {92--96},
     publisher = {mathdoc},
     volume = {44},
     number = {2},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2010_44_2_a9/}
}
TY  - JOUR
AU  - A. N. Parshin
TI  - On holomorphic representations of discrete Heisenberg groups
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 2010
SP  - 92
EP  - 96
VL  - 44
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FAA_2010_44_2_a9/
LA  - ru
ID  - FAA_2010_44_2_a9
ER  - 
%0 Journal Article
%A A. N. Parshin
%T On holomorphic representations of discrete Heisenberg groups
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 2010
%P 92-96
%V 44
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FAA_2010_44_2_a9/
%G ru
%F FAA_2010_44_2_a9
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/