Geodesic
Orthogonal Toroidal Lie Algebras, Vertex Algebras and Skew Howe Duality
Fulin Chen1 ; Xin Huang1 ; Shaobin Tan1
1School of Mathematical Sciences, Xiamen University, Xiamen, P. R. China
Journal of Lie Theory, Tome 32 (2022) no. 2, pp. 301-312

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

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

Fulin Chen  1   ; Xin Huang  1   ; Shaobin Tan  1

1 School of Mathematical Sciences, Xiamen University, Xiamen, P. R. China 
Fulin Chen; Xin Huang; Shaobin 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/JOLT_2022_32_2_a0/
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     author = {Fulin Chen and Xin Huang and Shaobin 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},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2022_32_2_a0/}
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