Let (V,H) be an anisotropic Hermitian space of finite dimension over the algebraic closure of a real closed field K. We determine the orbits of the group of isometries of (V,H) in the set of the K-subspaces of V.
BARTOLONE C, VACCARO M A (2006). Unitary groups acting on Grassmannians associated with a quadratic extension of fields. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 36(4), 1107-1116 [10.1216/rmjm/1181069406].
Unitary groups acting on Grassmannians associated with a quadratic extension of fields.
BARTOLONE, Claudio;VACCARO, Maria Alessandra
2006-01-01
Abstract
Let (V,H) be an anisotropic Hermitian space of finite dimension over the algebraic closure of a real closed field K. We determine the orbits of the group of isometries of (V,H) in the set of the K-subspaces of V.
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