与维拉索罗共形代数有关的两个 $\mathbb {Z}$ -Graded 无限列共形代数

Pub Date : 2024-02-24 DOI:10.1007/s10468-024-10260-2

Xiaoqing Yue, Shun Zou

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引用次数: 0

摘要

在本文中，我们研究了两个（\(\mathbb {Z}\）-等级的无限列共形代数，它们与一类广义布洛克类型的列代数密切相关，并且都有一个与维拉索罗共形代数同构的商代数。我们具体地确定了它们的同构映射、共形衍射、一维中心在某些条件下的扩展、有限共形模块和（\mathbb {Z}\）级自由中间数列模块。

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Two $\mathbb {Z}$-Graded Infinite Lie Conformal Algebras Related to the Virasoro Conformal Algebra

In this paper, we study two $\mathbb {Z}$-graded infinite Lie conformal algebras, which are closely related to a class of Lie algebras of the generalized Block type, and which both have a quotient algebra isomorphic to the Virasoro conformal algebra. We concretely determine their isomorphic mappings, conformal derivations, extensions by a one-dimensional center under some conditions, finite conformal modules and $\mathbb {Z}$-graded free intermediate series modules.

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