Abstract

The aim of the present paper is to construct Dyson type [1, 2] boson-fermion realizations (BFR) of the arbitrary finite-dimensional contragredient Lie (super)algebra [3, 4] and to discuss how these realizations can be used to determine the matrix representations of (super)algebra. (Here we use the name “(super)algebra” in the following sense: It includes all semisimple finite-dimensional Lie algebras and all finite-dimensional contragredient Lie superalgebras.)

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