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arXiv · 2205.15105

Center and Lie algebra of outer derivations for algebras of differential operators associated to hyperplane arrangements

Francisco Kordon·Thierry Lambre
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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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Francisco Kordon, Thierry Lambre. 2022-05-30. Center and Lie algebra of outer derivations for algebras of differential operators associated to hyperplane arrangements. https://arxiv.org/abs/2205.15105

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