Orthogonal Toroidal Lie Algebras, Vertex Algebras and Skew Howe Duality
Journal of Lie theory, Tome 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.
Classification :
17B67, 17B69
Mots-clés : Toroidal Lie algebra, vertex algebra, skew Howe duality
Mots-clés : Toroidal Lie algebra, vertex algebra, skew Howe duality
@article{JLT_2022_32_2_JLT_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},
url = {http://geodesic.mathdoc.fr/item/JLT_2022_32_2_JLT_2022_32_2_a0/}
}
TY - JOUR AU - F. Chen AU - X. Huang AU - S. Tan TI - Orthogonal Toroidal Lie Algebras, Vertex Algebras and Skew Howe Duality JO - Journal of Lie theory PY - 2022 SP - 301 EP - 312 VL - 32 IS - 2 UR - http://geodesic.mathdoc.fr/item/JLT_2022_32_2_JLT_2022_32_2_a0/ ID - JLT_2022_32_2_JLT_2022_32_2_a0 ER -
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/