Division algebra representations of SO(4, 2)
Abstract
Representations of SO(4, 2) are constructed using 4×4 and 2×2 matrices with elements in ℍ' ⊗ ℂ and the known isomorphism between the conformal group and SO(4, 2) is written explicitly in terms of the 4×4 representation. The Clifford algebra structure of SO(4, 2) is briefly discussed in this language, as is its relationship to other groups of physical interest.
- Publication:
-
Modern Physics Letters A
- Pub Date:
- August 2014
- DOI:
- 10.1142/S0217732314501284
- arXiv:
- arXiv:1312.7391
- Bibcode:
- 2014MPLA...2950128K
- Keywords:
-
- Division algebras;
- magic squares;
- orthogonal groups;
- Clifford algebras;
- 11.10.Kk;
- 11.30.Cp;
- 11.30.Ly;
- Field theories in dimensions other than four;
- Lorentz and Poincare invariance;
- Other internal and higher symmetries;
- Mathematics - Rings and Algebras;
- 22E46 (primary);
- 22E70;
- 81R05 (secondary)
- E-Print:
- 13 pages