Structure and representation theory for the double group of the four-dimensional cubic group
نویسندگان
چکیده
Hyper-cubic 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 O4 and its double group, as well as all inequivalent single-valued representations and spinor representations of O4. 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 O4 are calculated.
منابع مشابه
Structure and representation theory of double group of four-dimensional cubic group
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 O4 and its double group, as well as all inequivalent single-valued representations and spinor representations of O4. All repre...
متن کاملStructure and Representation Theory for Double Group of Four-Dimensional Cubic Group
Hyper-cubic 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 O4 and its double group, as well as all inequivalent single-valued representations and spinor representations of O4. All represen...
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