On formal series and extremal projectors over the Kac-Moody algebras (Q2719498)

Let \(\mathfrak g\) be a symmetrizable Kac-Moody algebra and \(U(\mathfrak g)\) be its universal enveloping algebra. The author studies the symmetrizable Kac-Moody algebras (a partial case of the Chevalley algebras) and establishes the relationship between the associative algebra \(F(\mathfrak g)\) and projective limits over the algebra \(U(\mathfrak g)\). Some applications of the operator \( p\in F(\mathfrak g) \) to the theory of \(\mathfrak g\)-module are shown.