Geodesic
The classification of complex factor-representations of the 3-dimensional Heisenberg group over countable field of finite characteristics
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part VI, Tome 283 (2001), pp. 140-155

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We consider the field $F$ which is a direct limit of increasing chain of finite fields. We describe Bratteli diagram, complex factor-representations and projective moduli of the Heisenberg group of $3\times3$ upper-triangular matrices with elements from $F$. 
@article{ZNSL_2001_283_a9,
     author = {K. P. Kokhas'},
     title = {The classification of complex factor-representations of the 3-dimensional {Heisenberg} group over countable field of finite characteristics},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {140--155},
     publisher = {mathdoc},
     volume = {283},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2001_283_a9/}
}
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K. P. Kokhas'. The classification of complex factor-representations of the 3-dimensional Heisenberg group over countable field of finite characteristics. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part VI, Tome 283 (2001), pp. 140-155. http://geodesic.mathdoc.fr/item/ZNSL_2001_283_a9/