0000000000220353

AUTHOR

Vaccaro Maria Alessandra

showing 3 related works from this author

The structure of symplectic groups associated with a quadratic extension of fields

2003

Given a quadratic extension L/K of fields and a regular alternating space (V, f) of finite dimension over L, we determine the isometry group of a K-subspace W of V which does not split into the orthogonal sum of two proper K-subspaces, W being neither an L-space nor a K-substructure.

Symplectic groups double coset spaces L-automorphic functions.Settore MAT/03 - Geometria
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L'azione del gruppo simplettico associata ad un'estensione quadratica di campi

2000

Given a quadratic extension L/K of fields and a regular alternating space (V; f) of finite dimension over L, we classify K-subspaces of V which do not split into the orthogonal sum of two proper K-subspaces. This allows one to determine the orbits of the group Sp_L(V; f) in the set of K-subspaces of V.

Geometry of classical groups canonical forms reduction classificationSettore MAT/03 - Geometria
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The action of the unitary group associated with a quadratic extension of fields

1999

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 MAT/03 - GeometriaGeometry of classical groups Canonical forms reduction classification
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