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Expression for a general element of an \(\text{SO}(n)\) matrix. (English) Zbl 1030.22007

Summary: 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.

MSC:

22E70 Applications of Lie groups to the sciences; explicit representations
20G05 Representation theory for linear algebraic groups
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