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Journal of Lie Theory 29 (2019), No. 3, 647--661
Copyright Heldermann Verlag 2019

Bosonic Free Field Realizations of Twisted 2-Toroidal Lie Algebras

Chad R. Mangum
Mathematics Department, Niagara University, 5795 Lewiston Road, Niagara University, New York 14109, U.S.A.

Using free fields, we construct bosonic realizations of toroidal Lie algebras of type A2n-1, A2n, Dn+1, D4, which are twisted by Dynkin diagram automorphisms. These realizations are based upon the Moody-Rao-Yokonuma-like presentations which have been recently found.

Keywords: Lie algebras, twisted toroidal Lie algebras, bosonic realization.

MSC: 17B67, 17B65

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