On the category of modules over some semisimple bialgebras

被引：0
|
作者：
V. A. Artamonov
R. B. Mukhatov
R. Wisbauer
机构：
[1] Moscow State University,Faculty of Mechanics and Mathematics, Department of Algebra
[2] H. Heine University Düsseldorf,Matematisches Institut
来源：
Arabian Journal of Mathematics | 2012年 / 1卷 / 1期
关键词：
16T10;
D O I：
10.1007/s40065-012-0010-9
中图分类号：
学科分类号：
摘要：
We study the tensor category of modules over a semisimple bialgebra H under the assumption that irreducible H-modules of the same dimension > 1 are isomorphic. We consider properties of Clebsch–Gordan coefficients showing multiplicities of occurrences of each irreducible H-module in a tensor product of irreducible ones. It is shown that, in general, these coefficients cannot have small values.
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页码：29 / 38
页数：9
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