Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 10, Tome 305 (2003), pp. 121-135
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E. V. Dybkova. Overdiagonal subgroups of the hyperbolic unitary group for the good form ring over a skew field. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 10, Tome 305 (2003), pp. 121-135. http://geodesic.mathdoc.fr/item/ZNSL_2003_305_a6/
@article{ZNSL_2003_305_a6,
author = {E. V. Dybkova},
title = {Overdiagonal subgroups of the hyperbolic unitary group for the good form ring over a~skew field},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {121--135},
year = {2003},
volume = {305},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2003_305_a6/}
}
TY - JOUR
AU - E. V. Dybkova
TI - Overdiagonal subgroups of the hyperbolic unitary group for the good form ring over a skew field
JO - Zapiski Nauchnykh Seminarov POMI
PY - 2003
SP - 121
EP - 135
VL - 305
UR - http://geodesic.mathdoc.fr/item/ZNSL_2003_305_a6/
LA - ru
ID - ZNSL_2003_305_a6
ER -
%0 Journal Article
%A E. V. Dybkova
%T Overdiagonal subgroups of the hyperbolic unitary group for the good form ring over a skew field
%J Zapiski Nauchnykh Seminarov POMI
%D 2003
%P 121-135
%V 305
%U http://geodesic.mathdoc.fr/item/ZNSL_2003_305_a6/
%G ru
%F ZNSL_2003_305_a6
In the hyperbolic unitary group over a skew field we study the lattice of subgroups containing all diagonal unitary matrices. If a form parameter is minimal, this lattice has the standard description in terms of net subgroups. In our previous paper this fact was proved for the groups of degree 4.
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