Multivectorial representation of Lie groups (Q753975)

The authors start with one of the possible definitions of a Clifford algebra [see for instance, \textit{D. Hestenes}, Space-time algebra (Gordon and Breach, New York, 1966; Zbl 0183.289))] to construct a multivector Clifford algebra representation in the vector space with \(n=p+q\) dimension. This representation is further developed for some Lie groups used rather often in field theories, namely SU(0,5), SU(1,3), SU(0,3), and SU(2).