摘要
给出了带权非交换拟洗牌Hopf代数对极公式的两种形式,一种是利用数学归纳法给出的显性表达式,另一种是利用由-t/1+t诱导的Hoffman-Ihara算子给出的线性算子形式.
Two kinds of formulars for the antipodes of noncommutative quasi-shuffle Hopf algebras with weights have been established.One is an explicit expression obtained by means of mathematical induction,and another one is given in terms of Hoffman-Ihara operators induced by-t/1+t.
作者
许达
喻厚义
XU Da;YU Houyi(School of Mathematics and Statistics, Southwest University, Chongqing 400715, China)
出处
《西南师范大学学报（自然科学版）》
CAS
2022年第4期25-29,共5页
Journal of Southwest China Normal University(Natural Science Edition)
基金
国家自然科学基金项目(12071377).
