Division algebra representations of SO(4,2)

作者：Kincaid Joshua^*; Dray Tevian

来源：Modern Physics Letters A, 2014, 29(25): 1450128.

DOI：10.1142/S0217732314501284

• Division algebras
• magic squares
• orthogonal groups
• Clifford algebras

Representations of SO(4, 2) are constructed using 4 x 4 and 2 x 2 matrices with elements in H%26apos; circle times C and the known isomorphism between the conformal group and SO(4, 2) is written explicitly in terms of the 4 x 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.

• 出版日期2014-8-20