6533b85cfe1ef96bd12bc52b
RESEARCH PRODUCT
The action of the unitary group associated with a quadratic extension of fields
Vaccaro Maria Alessandrasubject
Settore MAT/03 - GeometriaGeometry of classical groups Canonical forms reduction classificationdescription
Given a quadratic extension L/k of fields of characteristic different from 2 and a unitary space (V, f) of finite dimension over L, we give a representation, as simple as possible, of the form which f induces by restriction on a k-substructure of V. This, in turn, allows one to study the orbits of the unitary group U(V, f) in the set of k-substructures of V of a given dimension.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1999-01-01 |