The action of the unitary group associated with a quadratic extension of fields

Maria Alessandra Vaccaro

The action of the unitary group associated with a quadratic extension of fields

Matematica e Informatica

Risultato della ricerca: Article › peer review

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.

Lingua originale	English
pagine (da-a)	35-51
Numero di pagine	17
Rivista	Italian Journal of Pure and Applied Mathematics
Volume	5
Stato di pubblicazione	Published - 1999

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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.",

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AB - 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.

UR - http://hdl.handle.net/10447/413754

M3 - Article

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EP - 51

JO - Italian Journal of Pure and Applied Mathematics

JF - Italian Journal of Pure and Applied Mathematics

SN - 1126-8042

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