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The centroid of extended affine and root graded Lie algebras
Authors:Georgia Benkart  Erhard Neher
Institution:a Department of Mathematics, University of Wisconsin, Madison, WI 53706-1388, USA
b Department of Mathematics and Statistics, University of Ottawa, Ottawa, Ontario, Canada K1N 6N5
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.
Keywords:Primary: 17B40  secondary: 17A36
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