CENTER AND LIE ALGEBRA OF OUTER DERIVATIONS FOR ALGEBRAS OF DIFFERENTIAL OPERATORS ASSOCIATED TO HYPERPLANE ARRANGEMENTS - Université Clermont Auvergne Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2022

CENTER AND LIE ALGEBRA OF OUTER DERIVATIONS FOR ALGEBRAS OF DIFFERENTIAL OPERATORS ASSOCIATED TO HYPERPLANE ARRANGEMENTS

Francisco Kordon
  • Fonction : Auteur
Thierry Lambre

Résumé

We compute the center and the Lie algebra of outer derivations of a familiy of algebras of differential operators associated to hyperplane arrangements of the affine space A 3. The results are completed for 4-braid arrangements and for reflection arrangements associated to the wreath product of a cyclic group with the symmetric group S 3. To achieve this we use tools from homological algebra and Lie-Rinehart algebras of differential operators.
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Dates et versions

hal-03678498 , version 1 (25-05-2022)

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Francisco Kordon, Thierry Lambre. CENTER AND LIE ALGEBRA OF OUTER DERIVATIONS FOR ALGEBRAS OF DIFFERENTIAL OPERATORS ASSOCIATED TO HYPERPLANE ARRANGEMENTS. 2022. ⟨hal-03678498⟩
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