Supported by the National Natural Science Foundation of China(11961057);the Science and Technology Project of Gansu Province(21JR1RE287 and 2021B-221);the Fuxi Scientific Research Innovation Team of Tianshui Normal University(FXD2020-03);the Science Foundation(CXT2019-36 and CXJ2020-11);the Education and Teaching Reform Project of Tianshui Normal University(JY202004 and JY203008)。
Let A be an arbitrary square matrix,then equation AXA=XAX with unknown X is called Yang-Baxter matrix equation.It is difficult to find all the solutions of this equation for any given A.In this paper,the relations bet...
We unify and generalize several approaches to constructing braid group representa-tions from finite groups,using iterated twisted tensor products.We provide some general characterizations and classification of these r...
Supported by the National Program for Basic Research of MOST(Grant Nos.2016YFA0300600 and 2016YFA0302104);the National Natural Science Foundation of China(Grant Nos.11934015,11975183,11547045,11774397,11775178,11775177 and 91536115);Australian Research Council(Grant No.DP 190101529);the Major Basic Research Program of Natural Science of Shaanxi Province(Grant Nos.2017KCT-12,2017ZDJC-32);the Double First-Class University Construction Project of Northwest University.
New integrable B2 model with off-diagonal boundary reflections is proposed.The general solutions of the reflection matrix for the B2 model are obtained by using the fusion technique.Wefind that the reflection matrix h...
J.C.Sun would like to thank the support of NNSFC grant 11671247;H.Y.Yang would like to thank the support of Natural Science Foundation of Shanghai(Grant No.16ZR1415000);NNSFC grants 11771279 and 11801363.
In t his paper,Lie super-bialgebra st rue tures on the super-BMS3 algebra are considered.It is proved that all such Lie super-bialgebras are triangular coboundary Lie super-bialgebras.The method we use is mainly based...