Quantum Deformations of the Heisenberg-Virasoro Algebra-Reference-Cited by-同舟云学术

Quantum Deformations of the Heisenberg-Virasoro Algebra

Published:2013-04-03 Issue:02 Volume:20 Page:299-308
ISSN:1005-3867
Container-title:Algebra Colloquium
language:en
Short-container-title:Algebra Colloq.

Author:

Cheng Yongsheng¹²,Su Yucai³²

Affiliation:

1. Institute of Contemporary Mathematics and School of Mathematics and Information Science, Henan University, Kaifeng, Henan 475004, China

2. Wu Wen-Tsun Key Laboratory of Mathematics, University of Science and Technology of China, Hefei 230026, China

3. Department of Mathematics, Tongji University, Shanghai 200092, China

Abstract

In this paper, the authors develop an approach to construct a q-deformed Heisenberg-Virasoro algebra which is a Hom-Lie algebra, and investigate its central extensions and second cohomology group. Finally, quantum deformations of the Heisenberg-Virasoro algebra which provide a non-trivial Hopf structure are presented.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1005386713000266

Reference15 articles.

1. Moduli spaces of curves and representation theory

2. Central extensions of classical and quantum q-Virasoro algebras

3. Representations of the Twisted Heisenberg–Virasoro Algebra at Level Zero

4. q-deformations of Virasoro algebra and conformal dimensions

5. Lie Bialgebra Structures on Lie Algebras of Block Type

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