Journal of Lie Theory

no. 3
Bosonic Free Field Realizations of Twisted 2-Toroidal Lie Algebras
Journal of Lie Theory, Volume 29 (2019) no. 3, pp. 647-661
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.
DOI: 10.5802/jolt.1075
Classification: 17B67, 17B65
Keywords: Lie algebras, twisted toroidal Lie algebras, bosonic realization 
@article{JOLT_2019_29_3_a4,
     author = {C. 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},
     doi = {10.5802/jolt.1075},
     zbl = {1460.17037},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1075/}
}
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C. R. Mangum. Bosonic Free Field Realizations of Twisted 2-Toroidal Lie Algebras. Journal of Lie Theory, Volume 29 (2019) no. 3, pp. 647-661. doi: 10.5802/jolt.1075

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