Multinomial Combinatorial Group Representations of the Octahedral and Cubic Symmetries
Journal Article
·
· Published in: Journal of Mathematical Chemistry, vol. 35, no. 4, April 1, 2004, pp. 345
OSTI ID:15013847
We consider the full multinomial combinatorics of all irreducible representations of the octahedral (cubic) symmetry as a function of partitions for vertex, face and edge colorings. Full combinatorial tables for all irreducible representations and all multinomial partitions are constructed. These enumerations constitute multinomial expansions of character-based cycle index polynomials, and grow in combinatorial complexity as a function of edge or vertex coloring partitions.
- Research Organization:
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
- Sponsoring Organization:
- USDOE
- DOE Contract Number:
- W-7405-ENG-48
- OSTI ID:
- 15013847
- Report Number(s):
- UCRL-JRNL-201632; TRN: US200803%%900
- Journal Information:
- Published in: Journal of Mathematical Chemistry, vol. 35, no. 4, April 1, 2004, pp. 345, Vol. 35, Issue 4
- Country of Publication:
- United States
- Language:
- English
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