CONJUGATION INVARIANTS IN THE MOD 2 DUAL LEIBNIZ-HOPF ALGEBRA

被引:9
|
作者
Crossley, Martin [1 ]
Turgay, Neset Deniz [1 ]
机构
[1] Swansea Univ, Dept Math, Swansea SA2 8PP, W Glam, Wales
关键词
Antipode; Hopf algebra; Leibniz-Hopf algebra; Steenrod algebra; Quasisymmetric functions; Primary: 16T05; 57T05; 55S10; QUASI-SYMMETRIC FUNCTIONS; STEENROD ALGEBRA;
D O I
10.1080/00927872.2012.682675
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The Leibniz-Hopf algebra is the free associative algebra on one generator, S-n, in each positive degree, with coproduct Delta(S-n) = Sigma S-i circle times Sn-i. We calculate a basis for the fixed-points of the mod 2 dual of this algebra under the Hopf algebra conjugation operation.
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页码:3261 / 3266
页数:6
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