Twisted Toroidal Lie Algebras

Details Twisted Toroidal Lie Algebras Twisted Toroidal Lie Algebras

2001-06-14

arxiv.org/abs/math/0106119v1

Mathematics

Representation Theory

16 pages

Scientific paper

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.

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