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The Action of the Symplectic Group Associated with a Quadratic Extension of Fields

✍ Scribed by Claudio G. Bartolone; M.Alessandra Vaccaro

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 233 KB
Volume: 220
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1999.7921

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✦ Synopsis

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 .

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