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Abstract

Let \mathfrakg\mathfrak{g} be a central simple Lie algebra over a field \mathbbF\mathbb{F} . We study the maximal ℤn-graded subalgebra of \mathfrakgÄ\mathbbF\mathbbF[x1,x1-1,¼,xn,xn-1]\mathfrak{g}\otimes_{\mathbb{F}}\mathbb{F}[x_{1},x_{1}^{-1},\ldots,x_{n},x_{n}^{-1}] .

Keywords  graded Lie subalgebras - Kac–Moody algebras

Mathematics Subject Classifications (2000)  17B70, 17B65, 17B67.

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