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

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

2000-10-17

arxiv.org/abs/hep-lat/0010024v1

Physics

High Energy Physics

High Energy Physics - Lattice

Scientific paper

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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