Structure and representation theory of double group of four-dimensional cubic group
High Energy Physics - Lattice
2007-05-23 v1
Abstract
We generalize the concept of cubic group into any dimension and derive their conjugate classifications and representation theorys. Double group and spinor representation are defined. A detailed calculation is carried out on the structures of four-dimensional cubic group and its double group, as well as all inequivalent single-valued representations and spinor representations of . All representations are derived adopting Clifford theory of decomposition of induced representations.
Keywords
Cite
@article{arxiv.hep-lat/0010024,
title = {Structure and representation theory of double group of four-dimensional cubic group},
author = {Jian Dai and Xing-Chang Song},
journal= {arXiv preprint arXiv:hep-lat/0010024},
year = {2007}
}