YETTER-DRINFELD CATEGORIES ASSOCIATED TO AN ARBITRARY BIALGEBRA

被引:82
作者
RADFORD, DE [1 ]
TOWBER, J [1 ]
机构
[1] DEPAUL UNIV,DEPT MATH,CHICAGO,IL 60604
基金
美国国家科学基金会;
关键词
D O I
10.1016/0022-4049(93)90114-9
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Various prebraided monoidal categories associated to a bialgebra over a commutative ring are studied and their relationships at various levels are examined. Generalizations of braided bialgebras are described and prebraided monoidal categories are associated with them. Three formally different braided monoidal categories can always be associated with any bialgebra over a commutative ring. These are not necessarily the same.
引用
收藏
页码:259 / 279
页数:21
相关论文
共 18 条
[1]  
BRUNSTEIN R, 1990, ISRAEL J MATH, V72, P19
[2]  
DRINFELD VG, 1987, 1986 P INT C MATH BE, P798
[3]  
FADDEEV LD, 1987, QUANTIZATION LIE GRO, V2
[4]  
FADDEEV LD, 1987, QUANTIZATION LIE GRO, V1
[5]   BRAIDED COMPACT CLOSED CATEGORIES WITH APPLICATIONS TO LOW DIMENSIONAL TOPOLOGY [J].
FREYD, PJ ;
YETTER, DN .
ADVANCES IN MATHEMATICS, 1989, 77 (02) :156-182
[6]  
Humphreys J. E., 1975, GRADUATE TEXTS MATH, V21
[7]  
JOYAL A, BRAIDED MONOIDAL CAT
[8]   ALGEBRAIC ASPECTS OF THE QUANTUM YANG-BAXTER EQUATION [J].
LAMBE, LA ;
RADFORD, DE .
JOURNAL OF ALGEBRA, 1993, 154 (01) :228-288
[9]   2 DUAL CLASSES OF BIALGEBRAS RELATED TO THE CONCEPTS OF QUANTUM GROUP AND QUANTUM LIE-ALGEBRA [J].
LARSON, RG ;
TOWBER, J .
COMMUNICATIONS IN ALGEBRA, 1991, 19 (12) :3295-3345
[10]  
LYUBASHENKO VV, 1990, IGP9030E PREPR