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.
Bartolone Claudio, & Vaccaro Maria Alessandra (1999). The action of the symplectic group associated with a quadratic extension of fields. JOURNAL OF ALGEBRA, 220, 115-151 [10.1006/jabr.1999.7921].
Data di pubblicazione: | 1999 | |
Titolo: | The action of the symplectic group associated with a quadratic extension of fields | |
Autori: | ||
Citazione: | Bartolone Claudio, & Vaccaro Maria Alessandra (1999). The action of the symplectic group associated with a quadratic extension of fields. JOURNAL OF ALGEBRA, 220, 115-151 [10.1006/jabr.1999.7921]. | |
Rivista: | ||
Digital Object Identifier (DOI): | http://dx.doi.org/10.1006/jabr.1999.7921 | |
Abstract: | 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. | |
Settore Scientifico Disciplinare: | Settore MAT/03 - Geometria | |
Appare nelle tipologie: | 1.01 Articolo in rivista |
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