Quantum Deformations of the Heisenberg-Virasoro Algebra

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

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