6533b7defe1ef96bd12762cc

RESEARCH PRODUCT

L'azione del gruppo simplettico associata ad un'estensione quadratica di campi

Vaccaro Maria Alessandra

subject

Geometry of classical groups canonical forms reduction classificationSettore 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 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.

http://hdl.handle.net/10447/413758