Recursive Symmetries: Chemically Induced Combinatorics of Colorings of Hyperplanes of an 8-Cube for All Irreducible Representations

Recursive Symmetries: Chemically Induced Combinatorics of Colorings of Hyperplanes of an 8-Cube for All Irreducible Representations

We outline symmetry-based combinatorial and computational techniques to enumerate the colorings of all the hyperplanes (q = 1–8) of the 8-dimensional hypercube (8-cube) and for all 185 irreducible representations (IRs) of the 8-dimensional hyperoctahedral group, which contains 10,321,920 symmetry op...

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Bibliographic Details
Main Author: Krishnan Balasubramanian
Format: Article
Language:English
Published: MDPI AG 2023-05-01
Series:Symmetry
Subjects:
recursive symmetries
hyperplane colorings of 8-cubes
generalized character cycle indices for hyperplanes of 8-cube
8D hyperoctahedral group
generating functions
chemical and biological applications
Online Access:https://www.mdpi.com/2073-8994/15/5/1031

Internet

https://www.mdpi.com/2073-8994/15/5/1031

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