Quantum Group and Quantum Symmetry
高能物理 - 理论
2015-06-26 v1
摘要
This is a self-contained review on the theory of quantum group and its applications to modern physics. A brief introduction is given to the Yang-Baxter equation in integrable quantum field theory and lattice statistical physics. The quantum group is primarily introduced as a systematic method for solving the Yang-Baxter equation. Quantum group theory is presented within the framework of quantum double through quantizing Lie bi-algebra. Both the highest weight and the cyclic representations are investigated for the quantum group and emphasis is laid on the new features of representations for being a root of unity. Quantum symmetries are explored in selected topics of modern physics.
引用
@article{arxiv.hep-th/9508170,
title = {Quantum Group and Quantum Symmetry},
author = {Zhe Chang},
journal= {arXiv preprint arXiv:hep-th/9508170},
year = {2015}
}
备注
127 pages, Latex