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arXiv · 1310.3784

The Filtration Induced by a Locally Nilpotent Derivation

Bachar Alhajjar
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Abstract

We investigate the filtration corresponding to the degree function induced by a non-zero locally nilpotent derivations and its associated graded algebra. As an application we provide an efficient method to recover the Makar-Limanov invariants, isomorphism classes and automorphism groups of classically known algebras. We also present a new class of examples which can be fully described with this method.

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Bachar Alhajjar. 2013-10-14. The Filtration Induced by a Locally Nilpotent Derivation. https://arxiv.org/abs/1310.3784

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