Elsevier

Journal of Algebra

Volume 197, Issue 2, 15 November 1997, Pages 492-505
Journal of Algebra

Regular Article
Lie-Admissible Algebras and Kac–Moody Algebras

https://doi.org/10.1006/jabr.1997.7125Get rights and content
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Abstract

In this paper, we determine all third power-associative Lie-admissible algebras whose commutator algebras are Kac–Moody algebras.

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This research was supported in part the Basic Science Research Institute Program, Ministry of Education, BSRI-96-1414, and by the University Development Research Fund at Seoul National University, Korea.

Communicated by Georgia, Benkart