Geodesic
On formal series and infinite products over~Lie algebras
Lobachevskii journal of mathematics, Tome 4 (1999), pp. 207-218.

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A brief survey of new methods for the study of nonstandard associative envelopes of Lie algebras is presented. Various extensions of the universal enveloping algebra $U\mathfrak g$ are considered, where $\mathfrak g$ is a symmetrizable Kac–Moody algebra. An elementary proof is given for describing the “extremal projector” over $\mathfrak g$ as an infinite product over $U\mathfrak g$. Certain applications to the theory of $\mathfrak g$-modules are discussed.
Keywords: Kac–Moody algebras, enveloping algebras, quantum algebras
Mots-clés : Lie algebras, modules. 
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     author = {D. P. Zhelobenko},
     title = {On formal series and infinite products {over~Lie} algebras},
     journal = {Lobachevskii journal of mathematics},
     pages = {207--218},
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     volume = {4},
     year = {1999},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/LJM_1999_4_a9/}
}
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D. P. Zhelobenko. On formal series and infinite products over~Lie algebras. Lobachevskii journal of mathematics, Tome 4 (1999), pp. 207-218. http://geodesic.mathdoc.fr/item/LJM_1999_4_a9/