有关双泊松顶点代数的函子构造

IF 1.2 2区数学 Q1 MATHEMATICS

Journal of the London Mathematical Society-Second Series Pub Date : 2025-09-11 DOI:10.1112/jlms.70264

Tristan Bozec, Maxime Fairon, Anne Moreau

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引用次数: 0

摘要

对于任何二重泊松代数，我们使用喷射代数构造得到了一个二重泊松顶点代数。我们证明了这种构造与任何双泊松（顶点）代数和任何正整数泊松（顶点）代数的表示函子是相容的。我们还考虑了相关的结构，如泊松约化和哈密顿约化，目的是比较不同的相应类别。这允许我们提供各种有趣的双泊松顶点代数的例子，特别是双颤振。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Functorial constructions related to double Poisson vertex algebras

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Functorial constructions related to double Poisson vertex algebras

For any double Poisson algebra, we produce a double Poisson vertex algebra using the jet algebra construction. We show that this construction is compatible with the representation functor which associates to any double Poisson (vertex) algebra and any positive integer a Poisson (vertex) algebra. We also consider related constructions, such as Poisson reductions and Hamiltonian reductions, with the aim of comparing the different corresponding categories. This allows us to provide various interesting examples of double Poisson vertex algebras, in particular from double quivers.

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来源期刊

Journal of the London Mathematical Society-Second Series 数学-数学

CiteScore

1.90

自引率

0.00%

发文量

186

审稿时长

6-12 weeks

期刊介绍： The Journal of the London Mathematical Society has been publishing leading research in a broad range of mathematical subject areas since 1926. The Journal welcomes papers on subjects of general interest that represent a significant advance in mathematical knowledge, as well as submissions that are deemed to stimulate new interest and research activity.