Wakimoto modules for twisted multi-loop algebra of type \(A_1 \times A_1\)

DOI10.1007/s11464-015-0493-8zbMath1350.17015OpenAlexW2180249234MaRDI QIDQ282410

Dexin Lan, Xiaoli Kong, Jinglian Jiang

Publication date: 12 May 2016

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-015-0493-8

zbMATH Keywords

free bosonic fieldtwisted multi-loop algebraWakimoto module

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Infinite-dimensional Lie (super)algebras (17B65)

Cites Work

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• Hermitian representations of the extended affine Lie algebra \(\widehat {\mathfrak {gl}_2(\mathbb {C}_q)}\)
• Structure and representation for a class of infinite-dimensional Lie algebras
• Vertex operator representations for TKK algebras
• TKK algebras and vertex operator representations
• Representations of twisted multi-loop Lie algebras.
• Automorphism group and representation of a twisted multi-loop algebra
• Derivations of multi-loop algebras
• Classification of irreducible integrable modules for multi-loop algebras with finite-dimensional weight spaces

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