REMARKS ON BICOVARIANT DIFFERENTIAL CALCULI AND EXTERIOR HOPF-ALGEBRAS

被引：53

作者：

BRZEZINSKI, T

机构：

[1] Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge

来源：

LETTERS IN MATHEMATICAL PHYSICS | 1993年 / 27卷 / 04期

关键词：

D O I：

10.1007/BF00777376

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We show that every bicovariant differential calculus over the quantum group A defines a bialgebra structure on its exterior algebra. Conversely, every exterior bialgebra of A defines bicovariant bimodule over A. We also study a quasitriangular structure on exterior Hopf algebras in some detail.

引用

页码：287 / 300

页数：14

共 28 条

[1]

Abe E., 1980, HOPF ALGEBRAS

[2]

BOURBAKI N, 1973, ELEMENTS MATH, V1

[3]

BREZEZINSKI T, 1991, EXTERIOR BIALGEBRAS

[4] ON THE QUANTUM DIFFERENTIAL-CALCULUS AND THE QUANTUM HOLOMORPHICITY [J].