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The centroid of extended affine and root graded Lie algebras

Georgia Benkart·Erhard Neher
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Abstract

We develop general results on centroids of Lie algebras and apply them to determine the centroid of extended affine Lie algebras, loop-like and Kac-Moody Lie algebras, and Lie algebras graded by finite root systems.

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Georgia Benkart, Erhard Neher. 2005-02-26. The centroid of extended affine and root graded Lie algebras. https://arxiv.org/abs/math/0502561

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