International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 49, Pages 3091-3099
doi:10.1155/S0161171203302030
Expression for a general element of an SO(n) matrix
1Department of Mathematics, Indian Institute of Science, Bangalore 560 012, India
2Department of Mathematics and Centre for Theoretical Studies, Indian Institute of Science, Bangalore 560 012, India
3Jawaharlal Nehru Centre for Advanced Scientific Research, Bangalore 560 064, India
Received 3 February 2003
Copyright © 2003 T. M. Janaki and Govindan Rangarajan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
We derive the expression for a general element of an SO(n) matrix. All elements are obtained from a single element of the matrix. This has applications in recently developed methods for computing Lyapunov exponents.