超Schrödinger代数的准whittaker超模

IF 1.2 3区 数学 Q1 MATHEMATICS
Xinyue Wang , Liangyun Chen , Yao Ma
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引用次数: 0

摘要

在本文中,设S表示(1+1)维时空中N=1的超级Schrödinger代数。首先定义s上的(全称)拟whittaker超模和拟whittaker向量,然后证明任意简单s超模是拟whittaker超模当且仅当它是s的Heisenberg子代数上的局部有限超模,并描述全称拟whittaker超模及其商模的所有拟whittaker向量。最后给出了简单拟whittaker s超模的分类。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Quasi-Whittaker supermodules for the super Schrödinger algebra
In this paper, let S denote the N=1 super Schrödinger algebra in (1+1)-dimensional spacetime. We first define the (universal) quasi-Whittaker supermodules and quasi-Whittaker vectors over S. Then we prove that any simple S-supermodule is a quasi-Whittaker supermodule if and only if it is a locally finite supermodule over the Heisenberg subalgebra of S. We also describe all quasi-Whittaker vectors of the universal quasi-Whittaker supermodule and its quotient module. At last, we give the classification of simple quasi-Whittaker S-supermodules.
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来源期刊
Journal of Geometry and Physics
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
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