Twisted Toroidal Lie Algebras

Abstract

Using $n$ finite order automorphisms on a simple complex Lie algebra we construct twisted $n$-toroidal Lie algebras. Thus obtaining Lie algebras wich have a rootspace decomposition. For the case $n=2$ we list certain simple Lie algebras and their automorphisms, which produce twisted 2-toroidal algebras. In this way we obtain Lie algebras that are related to all Extended Affine Root Systems of K. Saito.

16 pages

References in corpus (4)

• Principal Vertex Operator Representations for Toroidal Lie Algebras
• Two-toroidal Lie Algebra as Current Algebra of Four-dimensional Kähler WZW Model
• Higher-dimensional WZW Model on Kähler Manifold and Toroidal Lie Algebra
• Toroidal Lie algebras and Bogoyavlensky's 2+1-dimensional equation

Cited by in corpus (1)

• Bosonic free field realization of twisted 2-toroidal Lie algebras