波德莱球上的一个合适的1-环

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Geometry and Physics Pub Date : 2025-06-19 DOI:10.1016/j.geomphys.2025.105571

Masato Tanaka

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引用次数: 0

摘要

定义了CQG - Hopf -代数的共理想α -子代数上的1-环，并考虑了它们扩展到Drinfeld双共理想上的1-环的条件。我们构造了一个扩展到Drinfeld双共理想的1-环的podleka球上的1-环，并将其视为SL（2，R）的量子化。我们证明了这个1环是合适的。

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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A proper 1-cocycle on a Podleś sphere

We define 1-cocycles on coideal ⁎-subalgebras of CQG Hopf ⁎-algebras and consider the condition for them to extend to 1-cocycles on Drinfeld double coideals. We construct a 1-cocycle on a Podleś sphere which extends to a 1-cocycle of the Drinfeld double coideal, which is considered as a quantization of

S L (2, R)

. We prove that this 1-cocycle is proper.

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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