A Short Note on the Conjugation in the Leibniz-Hopf Algebra  

作　　者：Neset Deniz Turgay 

机构地区：[1]Independent Scholar, 126/7 Sok. No. 10/1, Daire 3, Evka 3, Bornova- Izmir 35050, Turkey

出　　处：《Journal of Mathematics and System Science》2014年第1期34-36,共3页数学和系统科学（英文版）

摘　　要：The Leibniz-Hopf algebra is the free associative Z - algebra with one generator in each positive degree and coproduct is given by the Cartan formula. It has been also known as the ＇ring ofnoncommutative symmetric functions＇ [1], and to be isomorphic to the Solomon Descent algebra [ 12]. This Hopf algebra has links with algebra,topology and combinatorics. In this article we consider another approach of proof for the antipode formula in the Leibniz-Hopf algebra by using some properties of words in [2].

关 键 词：Hopfalgebra Leibniz-Hopf algebra ANTIPODE Steenrod algebra. 

分 类 号：O153.3[理学—数学] O172[理学—基础数学]