Multinomial Combinatorial Group Representations of the Octahedral and Cubic Symmetries

被引：0
|
作者：
K. Balasubramanian
机构：
[1] University of California Davis,Center for Image Processing and Integrated Computing
[2] University of California,Chemistry and Material Science Directorate, Lawrence Livermore National Laboratory
[3] University of California,Glenn T Seaborg Center, Lawrence Berkeley Laboratory
来源：
Journal of Mathematical Chemistry | 2004年 / 35卷
关键词：
group representations; combinations; multinomials; Polya’s theorem; cubic; octahedral symmetries;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
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页码：345 / 365
页数：20
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