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On the Symmetries of Spherical Harmonics

Published online by Cambridge University Press:  20 November 2018

Burnett Meyer
Burnett Meyer*
Affiliation:
University of Arizona
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Let be a finite group of transformations of three-dimensional Euclidean space, such that the distance between any two points is preserved by all transformations of the group. Such a group is a group of orthogonal linear transformations of three variables, or, geometrically speaking, a group of rotations and rotatory inversions. Thirty-two groups of this type are important in crystallography and are known as the crystallographic classes.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 6 , 1954 , pp. 135 - 157
Copyright
Copyright © Canadian Mathematical Society 1954

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