Generic intersection of orthogonal groups

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Título:	Generic intersection of orthogonal groups
Autor:	Durán Díaz, Raúl; Hernández Encinas, Luis CSIC ORCID ; Muñoz Masqué, Jaime CSIC ORCID; Queiruga Dios, Araceli
Palabras clave:	Bilinear form Complex vector space Diagonalizable endomorphism Group of isometries
Fecha de publicación:	jun-2008
Editor:	Universidad de Salamanca University of Wisconsin-Milwaukee
Citación:	Proceedings of the International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE 2008), pp. 231-235
Resumen:	Let V be a finite-dimensional complex vector space and let g, h: V x V --> C be two non-degenerate symmetric bilinear forms. Let G, H be the groups of isometries of g, h, respectively. If the endomorphism L: V --> V associated to g, h is diagonalizable, then dim(G ∩ H) = Σ(i=1,...,r) (m(i) over 2), where m(i), i=1,...,r, are the dimensions of the eigenspaces of L.
Descripción:	5 pages, no figures.-- Contributed to: International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE 2008), Murcia, Spain, June 13-17, 2008.
Versión del editor:	http://campus.usal.es/~CMMSE/
URI:	http://hdl.handle.net/10261/12999
ISBN:	978-84-612-1982-7
Aparece en las colecciones:	(IFA) Comunicaciones congresos