Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4598682 | Linear Algebra and its Applications | 2016 | 13 Pages |
Abstract
A method for generating all rational generalized matrices on indefinite real inner product spaces isomorphic to Rp,qRp,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 BB-orthogonal matrices in an indefinite inner product space (X,B)(X,B) are products of simple matrices with rational entries.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
M.A. Rodríguez-Andrade, G. Aragón-González, J.L. Aragón,