Convex PBW-type Lyndon Bases and Restricted Two-parameter Quantum Group of Type F_(4)

作     者：Xiao Yu CHEN Nai Hong HU Xiu Ling WANG Xiao Yu CHEN;Nai Hong HU;Xiu Ling WANG

作者机构：Department of MathematicsShanghai Normal UniversityShanghai 200234P.R.China School of Mathematical SciencesSKLPMMPEast China Normal UniversityShanghai 200241P.R.China School of Mathematical Sciences and LPMCNankai UniversityTianjin 300071P.R.China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2023年第39卷第6期

页      面：1053-1084页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Nai Hong Hu is supported by the NNSF of China(Grant Nos.12171155,12071094) in part by Science and Technology Commission of Shanghai Municipality(Grant No.22DZ2229014) 

主　　题：Convex PBW-type Lyndon basis restricted 2-parameter quantum groups integrals ribbon Hopf algebra 

摘      要：The convex PBW-type Lyndon basis for two-parameter quantum group U_(r,s)(F_(4))is *** thatrs^(-1)is a primitive l-th root of unity with l odd,then the restricted quantum group u_(r,s)(F_(4))as a quotient of U_(r,s)(F_(4))is pointed,and of a Drinfel’d double structure under a certain *** of Hopf isomorphisms of u_(r,s)(F_(4))are determined,and the necessary and sufficient condition for u_(r,s)(F_(4))to be a ribbon Hopf algebra is singled out by describing the left and right integrals.