Yang-Baxter方程的解与量子Yang-Baxter H-余模(英文)

Solution to the Yang-Baxter Equation and QuantumYang-Baxter H-comodules

英文关键词:Yang-Baxter equation  quantum Yang-Baxter H-comodule  cobraided Hopfalgebra.

中文摘要:

      设Ｈ是域ｋ上的Ｈｏpｆ代数．本文首先讨论了量子Ｙａｎｇ－ＢａｘｔｅｒＨ－余模与Ｙａｎｇ－Ｂａｘｔｅｒ方程的解的关系；然后作为应用，给出了任意Ｈｏｐｆ代数上Ｙａｎｇ－Ｂａｘｔｅｒ方程的一个解．

英文摘要:

      Let H be an arbitrary Hopf algebra over a field k. In this paper, at first wedeal with the relationship between solutions to the Yang-Baxter equation and quantumYang-Baxter H-comodules; then we use the results to give a solution to the Yang-Baxterequation over H.