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arXiv · hep-lat/0102001

Structure and Representation Theory for Double Group of Four-Dimensional Cubic Group

Jian Dai·Xing-Chang Song
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Abstract

Hypercubic groups in any dimension are defined and their conjugate classifications and representation theories are derived. Double group and spinor representation are introduced. A detailed calculation is carried out on the structures of four-dimensional cubic group $O_4$ and its double group, as well as all inequivalent single-valued representations and spinor representations of $O_4$. All representations are derived adopting Clifford theory of decomposition of induced representations. Based on these results, single-valued and spinor representations of the orientation-preserved subgroup of $O_4$ are calculated.

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Jian Dai, Xing-Chang Song. 2001-05-06. Structure and Representation Theory for Double Group of Four-Dimensional Cubic Group. https://doi.org/10.1063/1.1358880

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