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一类辫子Hopf代数(英文)

A class of braided Hopf algebras
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摘要 设 B为范畴 HHYD1 和 HHYD2 中的一个对象 ,本文提供了一种建立这些范畴中的辫子 Hopf代数 B和 B的一种方法。这些结果之一为文献 [2 In this paper we present a method to construct braided Hopf algebras  and B in a Yetter Drinfel'd category HHYD 1 by respectively twisting coalgebra structure and algebra structure on B which is an object both in HHYD 1 and in HHYD 2.One of these results is a generalization of [2] to any Hopf algebra.
出处 《河南师范大学学报(自然科学版)》 CAS CSCD 2003年第3期1-6,共6页 Journal of Henan Normal University(Natural Science Edition)
基金 This research is supported by a grant of NSF of China(1 96 0 1 0 1 5 ) the Science Foundation for distin-guished young scholars of Henan Province also a grant awarded to him by NSF of Henan Provice (994 0 5 1 80 0 )
关键词 辫子HOPF代数 YETTER-DRINFELD范畴 HOPF代数 线性代数 braided Hopf algebra Yetter Drinfeld category Hopf algebra
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参考文献6

  • 1Doi Y. Braided bialgebras and quadratic bialgebras [J]. Comm in Algebra, 1993, 21: 1730-1749.
  • 2Majid S. Transmutation theory and rank for quantum braided groups [J]. Math Proc Camb Phil Soc, 1993, 113: 45-70.
  • 3Militaru G. The Long dimodules category and nonlinear equations [J], Algebras and Representation Theory , 1999, 2:177-200.
  • 4Montgomery S. Hopf algebras and Their Actions on Rings [M]. Providence: CBMS Series in Math, Vol. 82, Am math Soc, 1993.
  • 5Sweedler M E. Hopf Algebras [M]. New Yok: Benjamin, 1969.
  • 6Wang S H. A Construction of braided Hopf algebras [J]. Tsukuba J Math, 2002, 26 (2) : 269-290.

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