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

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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
@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},
     publisher = {mathdoc},
     volume = {289},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2002_289_a9/}
}
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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/