The Filtration Induced by a Locally Nilpotent Derivation

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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https://hal.archives-ouvertes.fr/hal-00872823
Contributor : Bachar Alhajjar <>
Submitted on : Monday, October 14, 2013 - 2:45:14 PM
Last modification on : Friday, June 8, 2018 - 2:50:07 PM
Long-term archiving on : Wednesday, January 15, 2014 - 7:15:09 AM

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  • HAL Id : hal-00872823, version 1
  • ARXIV : 1310.3784

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Bachar Alhajjar. The Filtration Induced by a Locally Nilpotent Derivation. 2013. ⟨hal-00872823⟩

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