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 

机构地区：[1]Department of Mathematics,Shanghai Normal University,Shanghai 200234,P.R.China [2]School of Mathematical Sciences,SKLPMMP,East China Normal University,Shanghai 200241,P.R.China [3]School of Mathematical Sciences and LPMC,Nankai University,Tianjin 300071,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2023年第6期1053-1084,共32页数学学报（英文版）

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)。

摘　　要：The convex PBW-type Lyndon basis for two-parameter quantum group U_(r,s)(F_(4))is given.Assume 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 condition.All 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.

关 键 词：Convex PBW-type Lyndon basis restricted 2-parameter quantum groups INTEGRALS ribbon Hopf algebra 

分 类 号：O157[理学—数学]