Journal of Lie Theory 27 (2017), No. 3, 727--744
Copyright Heldermann Verlag 2017
Local Lie Algebras and some Kac-Moody Algebras of Indefinite Type
Huiling Gan
Mathematical College, Sichuan University, Chengdu 610064, P. R. China
ghl16882014@163.com
Youjun Tan
Mathematical College, Sichuan University, Chengdu 610064, P. R. China
ytan@scu.edu.cn
We show a sufficient condition for an indefinite Kac-Moody algebra to admit a minimal Z-gradation with local part given by an integrable highest weight module. Examples of orbit Lie algebras arising from 2-fold affinization and Lorentzian Kac-Moody algebras are discussed.
Keywords: Local Lie algebras, Kac-Moody algebras, integrable highest weight modules, affine algebras.
MSC: 17B65; 17B67
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