On the Drinfeld Center of the Category of Comodules over a Co-quasitriangular Hopf Algebra

被引：5

作者：

Zhu, Haixing ^{[1
]}

机构：

[1] Nanjing Forestry Univ, Coll Econ & Management, Nanjing 210037, Jiangsu, Peoples R China

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2016年 / 20卷 / 02期

关键词：

Co-quasitriangular Hopf algebras; Braided groups; Braided tensor categories; Drinfeld centers; Yetter-Drinfeld modules; BRAIDED AUTOEQUIVALENCES;

D O I：

10.11650/tjm.20.2016.5965

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let H be a co-quasitriangular Hopf algebra with bijective antipode. We prove that the Drinfeld center of the category of H-comodules is equivalent to the category of modules over some braided group. In particular, the equivalence holds not only for a finite dimensional H, but also for an infinite dimensional one.

引用

页码：263 / 275

页数：13

共 20 条

[11] EXAMPLES OF BRAIDED GROUPS AND BRAIDED MATRICES
MAJID, S
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1991, 32 (12) : 3246 - 3253
[12] BRAIDED GROUPS
MAJID, S
[J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 1993, 86 (02) : 187 - 221
[13] Majid S., 1991, SUPPL REND CIRC MA 2, P197
[14] Majid S., 1991, QUANTUM PROBABILITY, V6, P333
[15] Majid S., 1995, Foundations of Quantum Group Theory
[16] Sweedler M. E., 1969, MATH P CAMBRIDGE PHI
[17] QUANTUM GROUPS AND REPRESENTATIONS OF MONOIDAL CATEGORIES
YETTER, DN
[J]. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1990, 108 : 261 - 292
[18] Preparation of spherical nanostructured poly (methacrylic acid)/PbS composites by a microgel template method
Zhang, Y
Fang, Y
Wang, S
Lin, SY
[J]. JOURNAL OF COLLOID AND INTERFACE SCIENCE, 2004, 272 (02) : 321 - 325
[19] Zhu H. X., 2012, J PURE APPL ALGEBRA
[20] Braided autoequivalences and quantum commutative bi-Galois objects
Zhu, Haixing
Zhang, Yinhuo
[J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 2015, 219 (09) : 4144 - 4167

← 1 2 →