Journal of Lie Theory

no. 2
Orthogonal Toroidal Lie Algebras, Vertex Algebras and Skew Howe Duality
Journal of Lie Theory, Volume 32 (2022) no. 2, pp. 301-312
We generalize the skew Howe dualities $(\mathfrak{so}_{2\nu}, \mathrm{O}(\ell))$ and $(\mathfrak{so}_{2\nu+1},\mathrm{Pin}(\ell))$ to the toroidal Lie algebra and vertex algebra setups.
DOI: 10.5802/jolt.1232
Classification: 17B67, 17B69
Keywords: Toroidal Lie algebra, vertex algebra, skew Howe duality 
@article{JOLT_2022_32_2_a0,
     author = {F. Chen and X. Huang and S. Tan},
     title = {Orthogonal {Toroidal} {Lie} {Algebras,} {Vertex} {Algebras} and {Skew} {Howe} {Duality}},
     journal = {Journal of Lie Theory},
     pages = {301--312},
     year = {2022},
     volume = {32},
     number = {2},
     doi = {10.5802/jolt.1232},
     zbl = {1497.17034},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1232/}
}
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F. Chen; X. Huang; S. Tan. Orthogonal Toroidal Lie Algebras, Vertex Algebras and Skew Howe Duality. Journal of Lie Theory, Volume 32 (2022) no. 2, pp. 301-312. doi: 10.5802/jolt.1232

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