GAUGE DEFORMATIONS FOR HOPF ALGEBRAS WITH THE DUAL CHEVALLEY PROPERTY

被引：3

作者：

Ardizzoni, Alessandro ^{[1
]}

Beattie, Margaret ^{[2
]}

Menini, Claudia ^{[3
]}

机构：

[1] Univ Turin, Dept Math G Peano, I-10123 Turin, Italy

[2] Mt Allison Univ, Dept Math & Comp Sci, Sackville, NB E4L 1E6, Canada

[3] Univ Ferrara, Dept Math, I-44121 Ferrara, Italy

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2012年 / 11卷 / 03期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Hopf algebra; dual Chevalley property; cocycle twist; dual quasi-Hopf algebra; COCYCLE DEFORMATIONS; SMALL BIALGEBRAS; PROJECTION;

D O I：

10.1142/S0219498811005798

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let A be a Hopf algebra over a field K of characteristic zero such that its coradical H is a finite-dimensional sub-Hopf algebra. Our main theorem shows that there is a gauge transformation zeta on A such that A(zeta) congruent to Q#H where A(zeta) is the dual quasi-bialgebra obtained from A by twisting its multiplication by zeta, Q is a connected dual quasi-bialgebra in (HYD)-Y-H and Q#H is a dual quasi-bialgebra called the bosonization of Q by H.

引用

页数：37

共 18 条

[1] Triangular Hopf algebras with the Chevalley property [J].