6533b7d4fe1ef96bd12619e0

RESEARCH PRODUCT

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

Bartolone ClaudioVaccaro Maria Alessandra

subject

Symplectic groups double coset spaces L-automorphic functions.Settore MAT/03 - Geometria

description

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.

http://hdl.handle.net/10447/413760