Lorentz subgroup analysis of the Lie algebra of Sp(8,R) and a null-plane, boson realization

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Abstract
An algorithm is given for the construction of the Lie algebra of Sp(2N, R), integral N?3, in the form in which the tensor character of the generators under the action of a Lorentz subgroup is apparent. A specific realization of the algebra of Sp(8,R) in terms of four boson operators is presented, along with the tensor form of the complete algebra classified under the (unique) full null‐plane Lorentz subalgebra. The identities obtaining for the specific boson operator realization employed for Sp(8,R) are listed, use of which permits subsidiary conditions for four boson constrained systems to be expressed in terms of Lorentz invariants.

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