On the Symmetries of Spherical Harmonics
- 1 January 1954
- journal article
- research article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 6 (1) , 135-157
- https://doi.org/10.4153/cjm-1954-016-2
Abstract
Letbe 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.This publication has 2 references indexed in Scilit:
- Two applications of group characters to the solution of boundary-value problemsJournal of Research of the National Bureau of Standards, 1952
- The product of the generators of a finite group generated by reflectionsDuke Mathematical Journal, 1951