Orthogonal Toroidal Lie Algebras, Vertex Algebras and Skew Howe Duality
Journal of Lie theory, Tome 32 (2022) no. 2, pp. 301-312
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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.
Classification : 17B67, 17B69
Mots-clés : Toroidal Lie algebra, vertex algebra, skew Howe duality
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     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},
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F. Chen; X. Huang; S. Tan. Orthogonal Toroidal Lie Algebras, Vertex Algebras and Skew Howe Duality. Journal of Lie theory, Tome 32 (2022) no. 2, pp. 301-312. http://geodesic.mathdoc.fr/item/JLT_2022_32_2_JLT_2022_32_2_a0/