Geodesic
Local Lie Algebras and some Kac-Moody Algebras of Indefinite Type
Huiling Gan1 ; Youjun Tan1
1Mathematical College, Sichuan University, Chengdu 610064, P. R. China
Journal of Lie Theory, Tome 27 (2017) no. 3, pp. 727-744

Voir la notice de l'article provenant de la source Heldermann Verlag

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.
Classification : 17B65, 17B67
Mots-clés : Local Lie algebras, Kac-Moody algebras, integrable highest weight modules, affine algebras

Huiling Gan  1   ; Youjun Tan  1

1 Mathematical College, Sichuan University, Chengdu 610064, P. R. China 
Huiling Gan; Youjun Tan. Local Lie Algebras and some Kac-Moody Algebras of Indefinite Type. Journal of Lie Theory, Tome 27 (2017) no. 3, pp. 727-744. http://geodesic.mathdoc.fr/item/JOLT_2017_27_3_a5/
@article{JOLT_2017_27_3_a5,
     author = {Huiling Gan and Youjun 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},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2017_27_3_a5/}
}
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