Abstract
The generators of the fundamental representation of the Lie group GL(4N;r), integral N?1, are constructed from Kronecker products of smaller matrices in such a way that their tensor character under the action of the (unique) full null-plane Lorentz subgroup is apparent. Commutation relations of these tensors are given in terms of symmetric and antisymmetric structure constants for the fundamental representation of U(N) used in their construction. Generators of the Sp(4N;r) subgroup are classified according to transformation character under a U(N) subgroup. Commutation relations of sp(4N;r) are given in terms of SU(2)spin ⊗U(N) multiplets.
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