Geodesic
Overdiagonal subgroups of the hyperbolic unitary group for a good form ring over a field
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 5, Tome 236 (1997), pp. 87-96
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In the hyperbolic unitary group over a field the lattice of subgroups containing all diagonal unitary matrices, has the standard description. The corresponding form ring has to satisfy some conditions, in particular for fields of characteristic 2 we don't consider the symplectic group and the defective orthogonal groups. 
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E. V. Dybkova. Overdiagonal subgroups of the hyperbolic unitary group for a good form ring over a field. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 5, Tome 236 (1997), pp. 87-96. http://geodesic.mathdoc.fr/item/ZNSL_1997_236_a8/

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