AUBRY , Marc

In this paper we de ne a minimal generating system for the free twisted Lie algebra. This gives a correct formulation and a proof to an old statement of Barratt. To this aim we use properties of the Lyndon words and of the Klyachko idempotent which generalize to twisted Hopf algebras some similar results well-known in the classical case.

In this paper we de ne a minimal generating system for the free twisted Lie algebra. This gives a correct formulation and a proof to an old statement of Barratt. To this aim we use properties of the Lyndon words and of the Klyachko idempotent which generalize to twisted Hopf algebras some similar results well-known in the classical case.

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