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

来源：

COMMUNICATIONS IN ALGEBRA | 2013年 / 41卷 / 09期

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.

引用

页码：3261 / 3266

页数：6

共 50 条

[41] From slq(2) to a Parabosonic Hopf Algebra
Tsujimoto, Satoshi
Vinet, Luc
Zhedanov, Alexei
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2011, 7
[42] The Antipode of a Dual Quasi-Hopf Algebra with Nonzero Integrals is Bijective
Beattie, M.
Iovanov, M. C.
Raianu, S.
ALGEBRAS AND REPRESENTATION THEORY, 2009, 12 (2-5) : 251 - 255
[43] The Antipode of a Dual Quasi-Hopf Algebra with Nonzero Integrals is Bijective
M. Beattie
M. C. Iovanov
Ş. Raianu
Algebras and Representation Theory, 2009, 12 : 251 - 255
[44] On Hopf algebras over the unique 12-dimensional Hopf algebra without the dual Chevalley property
Xiong, Rongchuan
COMMUNICATIONS IN ALGEBRA, 2019, 47 (04) : 1516 - 1540
[45] On the Hopf algebra structure of the mod 3 cohomology of the exceptional Lie group of type E6
Nishimura, O
JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 1999, 39 (04): : 697 - 704
[46] Defining Relations for the Algebra of Invariants of 2×2 Matrices
Vesselin Drensky
Algebras and Representation Theory, 2003, 6 : 193 - 214
[47] Mod 2 Seiberg-Witten invariants of homology tori
Ruberman, D
Strle, S
MATHEMATICAL RESEARCH LETTERS, 2000, 7 (5-6) : 789 - 799
[48] Loop space homology associated with the mod 2 Dickson invariants
Levi, Ran
Seeliger, Nora
FORUM MATHEMATICUM, 2012, 24 (06) : 1161 - 1182
[49] Regularity of the algebra of invariants of (co)actions of certain finite Hopf algebras and formal groups in characteristic p
Restuccia, G
Tyc, A
BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 1997, 11B (04): : 1011 - 1019
[50] A GENERALIZATION OF THE DEFORMED ALGEBRA OF QUANTUM GROUP SU(2)Q FOR HOPF ALGEBRA
LUDU, A
GUPTA, RK
JOURNAL OF MATHEMATICAL PHYSICS, 1993, 34 (11) : 5367 - 5375

← 1 2 3 4 5 →