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Structure and representation theory of double group of four-dimensional cubic group

Jian Dai·Xing-Chang Song
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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 $O_4$ 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.

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Jian Dai, Xing-Chang Song. 2000-10-17. Structure and representation theory of double group of four-dimensional cubic group. https://arxiv.org/abs/hep-lat/0010024

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