Abstract
During the past two years following the first formulation of L-matrix theory [I] the Matscience group has been concerned with the generalised Clifford algebra of matrices which are the mth roots of unity. The generalised algebra was discovered by Yamazaki [2] in 1964 and the matrix representations in the lowest dimension were first given by Morris in 1967 [3]. We shall now present some new results on the subject and point out a surprising and unexpected connection with the generators of the special unitary group. It has been established that there are (2n + 1) matrices L, , L, ,..., L2n+l of dimension mn x mn obeying the two generalised Clifford conditions:
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