Orthogonal Rotation Group

Orthogonal rotation groups are Lie Groups. The orthogonal rotation group is the set of Real Orthogonal Matrices.

The orthogonal rotation group is the set of Real OrthogonalMatrices (having independent parameters) with Determinant .

The orthogonal rotation group is the set of Real OrthogonalMatrices, having independent parameters, with Determinant . isHomeomorphic with . Its elements can be written using Euler Angles and RotationMatrices as

			(1)
			(2)
			(3)
			(4)

References

Arfken, G. ``Orthogonal Group, .'' Mathematical Methods for Physicists, 3rd ed. Orlando, FL: Academic Press, p. 252-253, 1985.

Wilson, R. A. ``ATLAS of Finite Group Representation.''http://for.mat.bham.ac.uk/atlas/html/contents.html#orth.

• Ferrers Diagram
• Ferrers' Function
• Ferrier's Prime
• Feuerbach Circle
• Feuerbach Point
• Feuerbach's Conic Theorem
• Feuerbach's Theorem
• Feynman Point
• FFT
• Fiber
• Fiber Bundle
• Fiber Space
• Fibonacci Dual Theorem
• Fibonacci Hyperbolic Cosine
• Fibonacci Hyperbolic Cotangent
• Fibonacci Hyperbolic Sine
• Fibonacci Hyperbolic Tangent
• Fibonacci Identity
• Fibonacci Matrix
• Fibonacci n-Step Number
• Fibonacci Number
• Fibonacci Polynomial
• Fibonacci Pseudoprime
• Fibonacci Q-Matrix
• Fibonacci Sequence