Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 9, Tome 289 (2002), pp. 154-206
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E. V. Dybkova. On overdiagonal subgroups of the hyperbolic unitary group for a skew field. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 9, Tome 289 (2002), pp. 154-206. http://geodesic.mathdoc.fr/item/ZNSL_2002_289_a9/
@article{ZNSL_2002_289_a9,
author = {E. V. Dybkova},
title = {On overdiagonal subgroups of the hyperbolic unitary group for a skew field},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {154--206},
year = {2002},
volume = {289},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2002_289_a9/}
}
TY - JOUR
AU - E. V. Dybkova
TI - On overdiagonal subgroups of the hyperbolic unitary group for a skew field
JO - Zapiski Nauchnykh Seminarov POMI
PY - 2002
SP - 154
EP - 206
VL - 289
UR - http://geodesic.mathdoc.fr/item/ZNSL_2002_289_a9/
LA - ru
ID - ZNSL_2002_289_a9
ER -
%0 Journal Article
%A E. V. Dybkova
%T On overdiagonal subgroups of the hyperbolic unitary group for a skew field
%J Zapiski Nauchnykh Seminarov POMI
%D 2002
%P 154-206
%V 289
%U http://geodesic.mathdoc.fr/item/ZNSL_2002_289_a9/
%G ru
%F ZNSL_2002_289_a9
In the hyperbolic unitary group over a skew field we study the lattice of subgroups containing all diagonal unitary matrices. We have proved for the group of degree 4 that if a form parameter is minimal, this lattice has the standard description in terms of form net subgroups
