English

The centroid of extended affine and root graded Lie algebras

Representation Theory 2007-05-23 v1 Rings and Algebras

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

Cite

@article{arxiv.math/0502561,
  title  = {The centroid of extended affine and root graded Lie algebras},
  author = {Georgia Benkart and Erhard Neher},
  journal= {arXiv preprint arXiv:math/0502561},
  year   = {2007}
}

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35 pages