Abstract
We give a construction of the Virasoro algebra in terms of bilinear combinations of currents. The currents satisfy the Kac-Moody-Malcev commutation relations. The Kac-Moody-Malcev algebras are the generalization of Lie algebras of Kac-Moody type to the Malcev algebras. Thus, we give the generalization of the Sugawara construction to the case of Kac-Moody-Malcev algebras.
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