EXPRESSION FOR A GENERAL ELEMENT OF AN SO(n) MATRIX
نویسندگان
چکیده
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. 1. Introduction. Matrix representations of the SO(n) group have played an important role in mathematical physics [5, 6]. They continue to be used in many fields to this day [4, 7, 8]. They also play a crucial role in new methods for computing Lyapunov exponents [2, 3]. In this paper, we obtain the expression for a general element of an SO(n) matrix Q (n) for n ≥ 3. This offers significant advantages in generalizing the
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