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# Representations of N-lie Algebras

@inproceedings{2002RepresentationsON, title={Representations of N-lie Algebras}, author={}, year={2002} }

- Published 2002

over the field of complex numbers. Any finite-dimensional n-Lie V n-module is completely reducible. Any finite-dimensional irre-ducible n-Lie V n-module is isomorphic to a n-Lie extension of so n+1-module with highest weight tπ 1 for some nonnegative integer t.