A twisted quantum toroidal algebra

Naihuan JING; Rongjia LIU

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A twisted quantum toroidal algebra

机译：扭曲的量子环形代数

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摘要

As an analog of the quantum TKK algebra, a twisted quantum toroidal algebra of type A_1 is introduced. Explicit realization of the new quantum TKK algebra is constructed with the help of twisted quantum vertex operators over a Fock space.

机译：作为量子TKK代数的类似物，引入了类型为A_1的扭曲量子环形代数。新的量子TKK代数的显式实现是在Fock空间上借助扭曲的量子顶点算符构造的。

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来源
《Frontiers of mathematics in China》 |2013年第5期|1117-1128|共12页
作者
Naihuan JING; Rongjia LIU;
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作者单位

School of Sciences, South China University of Technology, Guangzhou 510640, China,Department of Mathematics, North Carolina State University, Raleigh, NC 27695, USA;

School of Sciences, South China University of Technology, Guangzhou 510640, China;

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正文语种 eng
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关键词
Vertex operator; toroidal algebra; quantum algebra;

机译：顶点运算符;环形代数量子代数;

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专利

1. Twisted Quantum Toroidal Algebras T_q~-(g) [J] . NAIHUAN JING, RONGJIA LIU Letters in Mathematical Physics: A Journal for the Rapid Dissemination of Short Contributions in the Field of Mathematical Physics . 2014,第9期

机译：扭曲量子环形代数T_q〜-（g）
2. Representations of twisted toroidal Lie algebras from twisted modules over vertex algebras [J] . Bakalov Bojko, Kirk Samantha Journal of Mathematical Physics . 2021,第3期

机译：来自顶点代数的扭曲模块的扭曲环形谎言代数的表示
3. Representations of the Twisted Heisenberg-Virasoro Algebra and the Full Toroidal Lie Algebras [J] . Qifen Jiang, Cuipo Jiang 代数集刊（英文版） . 2007,第001期

机译：扭曲的Heisenberg-Virasoro代数和全环形Lie代数的表示
4. Algebraic Function Operator Expectation Value Based Quantum Eigenstate Determination: A Case of Twisted or Bent Hamiltonian, or, a Spatially Univariate Quantum System on a Curved Space [C] . N. A. Baykara International Conference of Computational Methods in Sciences and Engineering . 2015

机译：代数功能操作员期望基于价值的量子Quigenstate确定：一种扭曲或弯曲哈密顿的情况，或者在弯曲空间上的空间单变量量子系统
5. Representations of Twisted Toroidal Lie Algebras of Type A2n–1 [D] . Mangum, Chad Robert 2014

机译：A2n–1型扭曲的环形李代数的表示
6. Quantum cluster algebras and quantum nilpotent algebras [O] . Kenneth R. Goodearl, Milen T. Yakimov 2014

机译：量子簇代数和量子幂等代数
7. Twisted quantum toroidal algebras $T_q^-(\mathfrak g)$ [O] . Jing, Naihuan, Liu, Rongjia 2014

机译：扭曲量子环形代数$ T_q ^ - （\ mathfrak g）$
8. Role of the central element in the quantum algebra underlying the twisted XXZ chain [R] . Monteiro, M. R. , Roditi, I. , Rodrigues, L. M. C. , 1995

机译：中心元素在扭曲XXZ链下面的量子代数中的作用

A twisted quantum toroidal algebra

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