论文标题

与超平面布置相关的差分运算符代数的外部衍生的中心和代数

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

论文作者

Kordon, Francisco, Lambre, Thierry

论文摘要

我们计算了与仿射空间的超平面布置相关的差分算子代数的外部衍生物的中心和代数。

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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