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.
Vaccaro Maria Alessandra (1999). The action of the unitary group associated with a quadratic extension of fields. ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 5, 35-51.
Data di pubblicazione: | 1999 | |
Titolo: | The action of the unitary group associated with a quadratic extension of fields | |
Autori: | ||
Citazione: | Vaccaro Maria Alessandra (1999). The action of the unitary group associated with a quadratic extension of fields. ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 5, 35-51. | |
Rivista: | ||
Abstract: | 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. | |
Settore Scientifico Disciplinare: | Settore MAT/03 - Geometria | |
Appare nelle tipologie: | 1.01 Articolo in rivista |
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