期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

On Corepresentations of Multiplier Hopf Algebras

On Corepresentations of Multiplier Hopf Algebras
原文传递
导出
摘要 We present a general construction producing a unitary corepresentation of a multiplier Hopf algebra in itself and study RR-corepresentations of twisted tensor coproduct multiplier Hopf algebra. Then we investigate some properties of functors, integrals and morphisms related to the categories of the crossed modules and covariant modules over multiplier Hopf algebras. By doing so, we can apply our theory to the case of group-cograded multiplier Hopf algebras, in particular, the case of Hopf group-coalgebras. We present a general construction producing a unitary corepresentation of a multiplier Hopf algebra in itself and study RR-corepresentations of twisted tensor coproduct multiplier Hopf algebra. Then we investigate some properties of functors, integrals and morphisms related to the categories of the crossed modules and covariant modules over multiplier Hopf algebras. By doing so, we can apply our theory to the case of group-cograded multiplier Hopf algebras, in particular, the case of Hopf group-coalgebras.
作者 Shuan-hong WANG Hai-xing ZHU
机构地区 Department of Mathematics
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2010年第6期1087-1114,共28页 数学学报（英文版）
基金 Supported by National Natural Science Foundation of China (Grant No. 10871042) the Research Fund for the Doctoral Program of Higher Education (Grant No. 20060286006) Natural Science Foundation of Jiangsu Province (Grant No. BK2009258) the Key Project of Chinese Ministry of Education of China (Grant No.108154)
关键词 （group-cograded） multiplier Hopf algebra copresentation crossed module covariant module Hopf group-coalgebra twisted tensor coproduct （group-cograded） multiplier Hopf algebra, copresentation, crossed module, covariant module, Hopf group-coalgebra, twisted tensor coproduct
分类号 O153.3 [理学—基础数学] O121.4 [理学—基础数学]
  • 相关文献

参考文献18

  • 1Van Daele, A., Zhang, Y.: Corepresention theory of multiplier Hopf algebras I. Intern. J. Math., 10(4), 503-530 (1999).
  • 2Kurose, H., Van Daele, A., Zhang, Y. H.: Corepresention theory of multiplier Hopf algebras II. Intern. J. Math., 11(2), 233-278 (2000).
  • 3Muger, M., Roberts, J. E., Tuset, L.: Representations of algebraic quantum groups and reconstruction theorems for tensor categories. Algebra Represent. Theory, 7(5), 517-573 (2004).
  • 4Kustermans, J.: Induced corepresentation of locally compact quantum groups. J. Funct. Anal., 194, 410-459 (2002).
  • 5Woronowicz, S. L.: Compact matrix pseudogroups. Comm. Math. Phys., 111, 613-665 (1987).
  • 6Van Daele, A.: Multiplier Hopf algebras. Trans. Amer. Math. Soc., 342, 917-932 (1994).
  • 7Abd El-hafez, A. T., Delvaux, L., Van Daele, A.: Group-cograded multiplier Hopf (*-)algebra. Algebra Represent. Theory, 10(1), 77-95 (2007).
  • 8Delvaux, L., Van-Daele,'A.: The" Drinfel'd double for group-eograded multiplier Hopf algebras. Algebra Represent. Theory, 10(3), 197-221 (2007).
  • 9Delvaux, L.: Twisted tensor coproduct of multiplier Hopf algebras. J. Algebra, 274, 751-771 (2004).
  • 10Menini, C., Militaru, G.: Integrals, quantum Galois extensions, and the affineness criterion for quantum Yetter-Drinfel'd modules. J. Algebra, 247(2), 467-508 (2002).
Acta Mathematica Sinica,English Series
2010年 第6期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部