扭转广义Weyl代数的扭转

IF 0.9 3区数学 Q2 MATHEMATICS

Bulletin of the London Mathematical Society Pub Date : 2025-06-09 DOI:10.1112/blms.70116

Jason Gaddis, Daniele Rosso

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引用次数: 0

摘要

研究了扭曲广义Weyl代数的梯度扭曲张量积和梯度扭曲。我们证明了tgwa类在这些操作下是封闭的，假设是温和的。我们将多参数量化Weyl代数之间的循环等价的一个结果推广到tgwa的设置。作为另一个应用，我们证明了a2 $A_2$型的某些tgwa是noether的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Twists of twisted generalized Weyl algebras

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Twists of twisted generalized Weyl algebras

We study graded twisted tensor products and graded twists of twisted generalized Weyl algebras (TGWAs). We show that the class of TGWAs is closed under these operations assuming mild hypotheses. We generalize a result on cocycle equivalence among multiparameter quantized Weyl algebras to the setting of TGWAs. As another application we prove that certain TGWAs of type $A_{2}$ are noetherian.

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