Quasi-orthogonal subalgebras of matrix algebras Original Research Article

In this paper, we investigate pairwise quasi-orthogonal subalgebras in Mpkn which are isomorphic to Mpk for kgreater-or-equal, slanted1, ngreater-or-equal, slanted2 and a prime number p with pgreater-or-equal, slanted3. We prove there exist (p2kn-1)/(p2k-1) such subalgebras and they span Mpkn.