Geodesic
Generalized Affine Kac-Moody Lie Algebras Over Localizations of the Polynomial Ring in One Variable
Canadian mathematical bulletin, Tome 37 (1994) no. 1, pp. 21-28

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DOI

We consider simple complex Lie algebras extended over the commutative ring C[z,(z — a1)-1, . . . ,(z — an)-1] where a1, . . . ,an ∊ C. We compute the universal central extensions of these Lie algebras and present explicit commutation relations for these extensions. These algebras generalize the untwisted affine Kac-Moody Lie algebras, which correspond to the case n = 1, a 1 = 0.
DOI : 10.4153/CMB-1994-004-8
Mots-clés : 17B65, 17B67 
Bremner, Murray. Generalized Affine Kac-Moody Lie Algebras Over Localizations of the Polynomial Ring in One Variable. Canadian mathematical bulletin, Tome 37 (1994) no. 1, pp. 21-28. doi: 10.4153/CMB-1994-004-8
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     title = {Generalized {Affine} {Kac-Moody} {Lie} {Algebras} {Over} {Localizations} of the {Polynomial} {Ring} in {One} {Variable}},
     journal = {Canadian mathematical bulletin},
     pages = {21--28},
     year = {1994},
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     doi = {10.4153/CMB-1994-004-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1994-004-8/}
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