## Symmetries in Wigner 18-J and 21-J Symbols

**Authors:** Richard J. Mathar

The symmetry group of the 18-j(H) Wigner symbol is restructured by splitting two symmetry
equations (Yutsis et al. 1962) into three generators. The symmetry groups of two 21-j Wigner
symbols (Ponzano 1965) are complemented to form groups of order 8. This summarizes systematic
evaluation of the automorphisms of the associated simple cubic graphs with McKay’s nauty program.

**Comments:** 8 Pages. Removed a duplicated figure in version 2.

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### Submission history

[v1] 2012-02-29 14:23:52

[v2] 2012-12-04 06:11:53

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