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.
Bartolone Claudio, Vaccaro Maria Alessandra (2003). The structure of symplectic groups associated with a quadratic extension of fields. PUBLICATIONES MATHEMATICAE, 62(1-2), 7-42.
The structure of symplectic groups associated with a quadratic extension of fields
Bartolone Claudio;Vaccaro Maria Alessandra
2003-01-01
Abstract
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.
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