Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part VI, Tome 283 (2001), pp. 140-155
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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/
@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},
year = {2001},
volume = {283},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2001_283_a9/}
}
TY - JOUR
AU - K. P. Kokhas'
TI - The classification of complex factor-representations of the 3-dimensional Heisenberg group over countable field of finite characteristics
JO - Zapiski Nauchnykh Seminarov POMI
PY - 2001
SP - 140
EP - 155
VL - 283
UR - http://geodesic.mathdoc.fr/item/ZNSL_2001_283_a9/
LA - ru
ID - ZNSL_2001_283_a9
ER -
%0 Journal Article
%A K. P. Kokhas'
%T The classification of complex factor-representations of the 3-dimensional Heisenberg group over countable field of finite characteristics
%J Zapiski Nauchnykh Seminarov POMI
%D 2001
%P 140-155
%V 283
%U http://geodesic.mathdoc.fr/item/ZNSL_2001_283_a9/
%G ru
%F ZNSL_2001_283_a9
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 $F$.