Geodesic
On Irreducible Representations of Discrete Heisenberg Groups
Matematičeskie zametki, Tome 92 (2012) no. 3, pp. 323-330

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We prove that the irreducible representations with finite weight of discrete nilpotent groups of class $2$, including the discrete Heisenberg groups, are monomial representations and obtain their classification for the group $\operatorname{Heis}(3,\mathbb Z)$.
Keywords: discrete Heisenberg group, discrete nilpotent group, representation of finite weight.
Mots-clés : monomial representation 
@article{MZM_2012_92_3_a0,
     author = {S. A. Arnal' and A. N. Parshin},
     title = {On {Irreducible} {Representations} of {Discrete} {Heisenberg} {Groups}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {323--330},
     publisher = {mathdoc},
     volume = {92},
     number = {3},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2012_92_3_a0/}
}
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S. A. Arnal'; A. N. Parshin. On Irreducible Representations of Discrete Heisenberg Groups. Matematičeskie zametki, Tome 92 (2012) no. 3, pp. 323-330. http://geodesic.mathdoc.fr/item/MZM_2012_92_3_a0/