Braided groups and quantum groupoids

被引：2

作者：

Liu, G. H. ^{[1
]}

Zhu, H. X. ^{[2
]}

机构：

[1] Southeast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China

[2] Univ Hasselt, Dept Math, B-3590 Diepenbeek, Belgium

来源：

ACTA MATHEMATICA HUNGARICA | 2012年 / 135卷 / 04期

关键词：

quantum groupoid; weak Hopf algebra; braided group; braided Hopf algebra; HOPF-ALGEBRAS; FACE ALGEBRAS;

D O I：

10.1007/s10474-011-0183-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let H be a quasitriangular weak Hopf algebra. It is proved that the centralizer subalgebra of its source subalgebra in H is a braided group (or Hopf algebra in the category of left H-modules), which is cocommutative and also a left braided Lie algebra in the sense of Majid.

引用

页码：383 / 399

页数：17

共 50 条

[21] Crossed Modules and Quantum Groups in Braided Categories
Yu. N. Bespalov
Applied Categorical Structures, 1997, 5 : 155 - 204
[22] Phase retrieval for probability distributions on quantum groups and braided groups
Franz, U
Neuenschwander, D
Schott, R
JOURNAL OF THEORETICAL PROBABILITY, 1999, 12 (02) : 585 - 594
[23] Locally compact quantum groups and groupoids - Introduction of the editor
Vainerman, L
LOCALLY COMPACT QUANTUM GROUPS AND GROUPOIDS, 2003, 2 : 1 - 16
[24] Phase Retrieval for Probability Distributions on Quantum Groups and Braided Groups
Uwe Franz
Daniel Neuenschwander
René Schott
Journal of Theoretical Probability, 1999, 12 : 585 - 594
[25] GROUPOIDS AND GROUPS
KANNAPPA.P
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 20 (01): : A88 - A88
[26] Conjugation in braided C*-categories and orthogonal quantum groups
Lance, EC
Paolucci, A
JOURNAL OF MATHEMATICAL PHYSICS, 2000, 41 (04) : 2383 - 2394
[27] BRAIDED GROUPS AND ALGEBRAIC QUANTUM-FIELD THEORIES
MAJID, S
LETTERS IN MATHEMATICAL PHYSICS, 1991, 22 (03) : 167 - 175
[28] Rieffel Deformation of Tensor Functor and Braided Quantum Groups
Kasprzak, Pawel
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2015, 337 (02) : 1035 - 1051
[29] Braided Quantum Groups and Their Bosonizations in the C*-Algebraic Framework
Roy, Sutanu
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2023, 2023 (14) : 11791 - 11828
[30] Diagrammatic formulation of multi-braided quantum groups
Durdevich, M
DIAGRAMMATIC MORPHISMS AND APPLICATIONS, 2003, 318 : 97 - 106

← 1 2 3 4 5 →