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Derivatives in Noncommutative calculus and deformation property of quantum algebras.

Abstract : The aim of my talk is twofold. First, I introduce analogs of (partial) derivatives on certain Noncommutative algebras, including some enveloping algebras and their ”braided versions”. Second, I discuss deformation property of some quantum algebras and show that contrary to a commonly held view the so-called ”q-Witt algebra” does not have a good deformation property (i.e. it is not a deformation of its classical counterpart).
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https://hal-uphf.archives-ouvertes.fr/hal-03155761
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Submitted on : Tuesday, March 2, 2021 - 9:25:15 AM
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  • HAL Id : hal-03155761, version 1

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Dimitri Gurevich. Derivatives in Noncommutative calculus and deformation property of quantum algebras.. Algebra, Deformations and Quantum groups Conference, Dec 2014, Marseille, France. ⟨hal-03155761⟩

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