Geodesic
Bosonic Free Field Realizations of Twisted 2-Toroidal Lie Algebras
Chad R. Mangum1
1Mathematics Department, Niagara University, 5795 Lewiston Road, Niagara University, New York 14109, U.S.A.
Journal of Lie Theory, Tome 29 (2019) no. 3, pp. 647-661

Voir la notice de l'article provenant de la source Heldermann Verlag

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.
Classification : 17B67, 17B65
Mots-clés : Lie algebras, twisted toroidal Lie algebras, bosonic realization

Chad R. Mangum  1

1 Mathematics Department, Niagara University, 5795 Lewiston Road, Niagara University, New York 14109, U.S.A. 
Chad R. Mangum. Bosonic Free Field Realizations of Twisted 2-Toroidal Lie Algebras. Journal of Lie Theory, Tome 29 (2019) no. 3, pp. 647-661. http://geodesic.mathdoc.fr/item/JOLT_2019_29_3_a4/
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     author = {Chad R. Mangum},
     title = {Bosonic {Free} {Field} {Realizations} of {Twisted} {2-Toroidal} {Lie} {Algebras}},
     journal = {Journal of Lie Theory},
     pages = {647--661},
     year = {2019},
     volume = {29},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2019_29_3_a4/}
}
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