Publication date: 1 May 2016
Source:Linear Algebra and its Applications, Volume 496
Author(s): M.A. Rodríguez-Andrade, G. Aragón-González, J.L. Aragón
A method for generating all rational generalized matrices on indefinite real inner product spaces isomorphic to Rp,q is presented. The proposed method is based on the proof of a weak version of the Cartan–Dieudonné theorem, handled using Clifford algebras. It is shown that all rational B-orthogonal matrices in an indefinite inner product space (X,B) are products of simple matrices with rational entries.
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