Non-weight modules over the generalized mirror Heisenberg-Virasoro algebra of rank two

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Geometry and Physics Pub Date : 2025-06-30 DOI:10.1016/j.geomphys.2025.105577

Xinwei Gu , Jiancai Sun

引用次数: 0

Abstract

In this paper, we investigate non-weight modules over the generalized mirror Heisenberg-Virasoro algebra of rank two, denoted

L^{'} (p, q)

, where

p, q \in C

. We construct a family of irreducible modules over this algebra, classify their isomorphism classes, and rigorously demonstrate that these modules exhaustively characterize all

L^{'} (p, q)

-modules that are

U (h)

-free modules of rank 1, with

h

being the Cartan subalgebra.

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二阶广义镜像Heisenberg-Virasoro代数上的非权模

本文研究了二阶广义镜像Heisenberg-Virasoro代数上的非权模，记为L ' (p,q)，其中p，q∈C。我们在这个代数上构造了一组不可约模，对它们的同构类进行了分类，并严格地证明了这些模穷举地刻画了所有L ' (p,q)-秩为1的U(h)自由模，h为Cartan子代数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Geometry and Physics 物理-物理：数学物理

CiteScore

2.90

自引率

6.70%

发文量

205

审稿时长

64 days

期刊介绍： The Journal of Geometry and Physics is an International Journal in Mathematical Physics. The Journal stimulates the interaction between geometry and physics by publishing primary research, feature and review articles which are of common interest to practitioners in both fields. The Journal of Geometry and Physics now also accepts Letters, allowing for rapid dissemination of outstanding results in the field of geometry and physics. Letters should not exceed a maximum of five printed journal pages (or contain a maximum of 5000 words) and should contain novel, cutting edge results that are of broad interest to the mathematical physics community. Only Letters which are expected to make a significant addition to the literature in the field will be considered. The Journal covers the following areas of research: Methods of: • Algebraic and Differential Topology • Algebraic Geometry • Real and Complex Differential Geometry • Riemannian Manifolds • Symplectic Geometry • Global Analysis, Analysis on Manifolds • Geometric Theory of Differential Equations • Geometric Control Theory • Lie Groups and Lie Algebras • Supermanifolds and Supergroups • Discrete Geometry • Spinors and Twistors Applications to: • Strings and Superstrings • Noncommutative Topology and Geometry • Quantum Groups • Geometric Methods in Statistics and Probability • Geometry Approaches to Thermodynamics • Classical and Quantum Dynamical Systems • Classical and Quantum Integrable Systems • Classical and Quantum Mechanics • Classical and Quantum Field Theory • General Relativity • Quantum Information • Quantum Gravity