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

IF 0.5 4区数学 Q3 MATHEMATICS Algebras and Representation Theory 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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来源期刊

Algebras and Representation Theory 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Algebras and Representation Theory features carefully refereed papers relating, in its broadest sense, to the structure and representation theory of algebras, including Lie algebras and superalgebras, rings of differential operators, group rings and algebras, C*-algebras and Hopf algebras, with particular emphasis on quantum groups. The journal contains high level, significant and original research papers, as well as expository survey papers written by specialists who present the state-of-the-art of well-defined subjects or subdomains. Occasionally, special issues on specific subjects are published as well, the latter allowing specialists and non-specialists to quickly get acquainted with new developments and topics within the field of rings, algebras and their applications.