6533b830fe1ef96bd1297c8e
RESEARCH PRODUCT
The Action of the Symplectic Group Associated with a Quadratic Extension of Fields
M.alessandra VaccaroClaudio Bartolonesubject
Discrete mathematicsPure mathematicsSymplectic groupAlgebra and Number TheoryGroup (mathematics)Symplectic representationSymplectic vector spaceQuadratic equationDimension (vector space)Metaplectic groupSettore MAT/03 - GeometriaMoment mapMathematicsGeometry of classical groups Canonical forms reduction classificationdescription
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 SpL(V, f) in the set of K-subspaces of V.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1999-10-01 | Journal of Algebra |