Automorphism group and representation of a twisted multi-loop algebra

DOI10.1007/s10114-010-8062-2zbMath1246.17006OpenAlexW2403288164MaRDI QIDQ2266874

Cui Chen, Shaobin Tan, Hai Feng Lian

Publication date: 26 February 2010

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-010-8062-2

zbMATH Keywords

automorphism grouprepresentationLie algebra

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Infinite-dimensional Lie (super)algebras (17B65) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40)

Related Items (3)

Wakimoto modules for twisted multi-loop algebra of type \(A_1 \times A_1\) ⋮ Automorphism Group of a Class of Gradation Shifting Toroidal Lie Algebras ⋮ The structures for the loop-Witt algebra

Cites Work

• 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
• On the toroidal Leibniz algebras
• Fock representations of the affine Lie algebra \(A_ 1^{(1)}\)
• TKK algebras and vertex operator representations
• Global asymptotics of Krawtchouk polynomials -- a Riemann-Hilbert approach
• Extended affine Lie algebras and their root systems
• Principal vertex operator representations for toroidal Lie algebras
• On representations of loop algebras
• Classification of irreducible integrable modules for multi-loop algebras with finite-dimensional weight spaces

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