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.

• Nonwandering
• Nonzero
• Nordstrand's Weird Surface
• Norm
• Normal
• Normal (Algebraically)
• Normal Curvature
• Normal Curve
• Normal Developable
• Normal Distribution
• Normal Distribution Function
• Normal Equation
• Normal Form
• Normal Function
• Normal Group
• Normalized Vector
• Normalizer
• Normal Magic Square
• Normal Matrix
• Normal Number
• Normal Order
• Normal Plane
• Normal Section
• Normal Subgroup
• Normal to a Plane