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Maximal Graded Subalgebras of Loop Toroidal Lie Algebras

Authors:	Email author" target="_blank">Yiftach?Barnea Email author

Institution:	(1) Departments of Mathematics, Royal Holloway, University of London, Egham, Surrey, TW20 0EX, United Kingdom

Abstract:	Let $\mathfrak{g}$ be a central simple Lie algebra over a field $\mathbb{F}$ . We study the maximal ℤⁿ-graded subalgebra of $\mathfrak{g}\otimes_{\mathbb{F}}\mathbb{F}x_{1},x_{1}^{-1},\ldots,x_{n},x_{n}^{-1}]$ . Mathematics Subject Classifications (2000) 17B70, 17B65, 17B67.

Keywords:	graded Lie subalgebras Kac– Moody algebras
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