Overgroups of the diagonal group in the hyperbolic unitary group over a~simple Artin ring
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 14, Tome 338 (2006), pp. 155-172
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We consider overgroups of the diagonal subgroup in the hyperbolic unitary group over a simple Artin ring. We have proved that in most cases the lattice of the subgroups in question admits the standard description. In particular, this holds for all infinite rings. In our previous papers
the similar result was obtained for fields and skew field.
@article{ZNSL_2006_338_a5,
author = {E. V. Dybkova},
title = {Overgroups of the diagonal group in the hyperbolic unitary group over a~simple {Artin} ring},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {155--172},
publisher = {mathdoc},
volume = {338},
year = {2006},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2006_338_a5/}
}
TY - JOUR AU - E. V. Dybkova TI - Overgroups of the diagonal group in the hyperbolic unitary group over a~simple Artin ring JO - Zapiski Nauchnykh Seminarov POMI PY - 2006 SP - 155 EP - 172 VL - 338 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZNSL_2006_338_a5/ LA - ru ID - ZNSL_2006_338_a5 ER -
E. V. Dybkova. Overgroups of the diagonal group in the hyperbolic unitary group over a~simple Artin ring. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 14, Tome 338 (2006), pp. 155-172. http://geodesic.mathdoc.fr/item/ZNSL_2006_338_a5/