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arXiv · 2401.01174

Bases for free Lie superalgebras

Michael Vaughan-Lee
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Abstract

We describe a basis for free Lie superalgebras which uses the theory of basic commutators. The only description for bases for free Lie superalgebras that I have found in the literature is in the book "Infinite dimensional Lie superalgebras" by Bahturin et al. Their bases make use of the theory of Shirshov bases in free Lie algebras, and I believe that there is a case for writing up an alternative approach using basic commutators.

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Michael Vaughan-Lee. 2024-01-02. Bases for free Lie superalgebras. https://arxiv.org/abs/2401.01174

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