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.
cmangum@niagara.edu
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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