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

Abstract : 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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Preprints, Working Papers, ...
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https://hal.uca.fr/hal-03678498
Contributor : Thierry Lambre Connect in order to contact the contributor
Submitted on : Wednesday, May 25, 2022 - 1:43:48 PM
Last modification on : Tuesday, May 31, 2022 - 3:39:00 AM

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  • HAL Id : hal-03678498, version 1
  • ARXIV : 2205.15105

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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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