论文标题

变形双电流代数和deligne类别的新实现

New realizations of deformed double current algebras and Deligne categories

论文作者

Etingof, Pavel, Kalinov, Daniil, Rains, Eric

论文摘要

在本文中,我们提出了一类变形双电流代数的替代结构。我们将它们构建为deligne类别中符号反射代数的球形亚代构。它们也可以被认为是有限等级中相应的球形亚genebras的超副作用。我们还通过发电机和关系提供了A和B型DDCA的新演示。

In this paper we propose an alternative construction of a certain class of Deformed Double Current Algebras. We construct them as spherical subalgebras of symplectic reflection algebras in the Deligne category. They can also be thought of as ultraproducts of the corresponding spherical subalgebras in finite rank. We also provide new presentations of DDCA of types A and B by generators and relations.

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