Journal of Lie Theory

no. 3
Local Lie Algebras and some Kac-Moody Algebras of Indefinite Type
Journal of Lie Theory, Volume 27 (2017) no. 3, pp. 727-744
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.
DOI: 10.5802/jolt.967
Classification: 17B65, 17B67
Keywords: Local Lie algebras, Kac-Moody algebras, integrable highest weight modules, affine algebras 
@article{JOLT_2017_27_3_a5,
     author = {H. Gan and Y. Tan},
     title = {Local {Lie} {Algebras} and some {Kac-Moody} {Algebras} of {Indefinite} {Type}},
     journal = {Journal of Lie Theory},
     pages = {727--744},
     year = {2017},
     volume = {27},
     number = {3},
     doi = {10.5802/jolt.967},
     zbl = {1430.17076},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.967/}
}
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%A Y. Tan
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%J Journal of Lie Theory
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%P 727-744
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H. Gan; Y. Tan. Local Lie Algebras and some Kac-Moody Algebras of Indefinite Type. Journal of Lie Theory, Volume 27 (2017) no. 3, pp. 727-744. doi: 10.5802/jolt.967

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