摘要
本文引进了无限维辫子Hopf代数日的忠实拟对偶H^d和严格拟对偶H^(d′).证明了每个严格拟对偶H^(d′)是一个H-Hopf模.发现了H^d的极大有理H^d-子模H^(drat)与积分的关系,即:H^(drat)≌∫_(H^d)~l■H.给出了在Yetter-Drinfeld范畴(_B^ByD,C)中的辫子Hopf代数的积分的存在性和唯—性.
The faithful quasi-dual H^d and strict quasi-dual H^d' of an infinite braided Hopf algebra H are introduced and it is proved that every strict quasi-dual H^d' is an H-Hopf module. A connection between the integrals and the maximal rational H^d-submodule Hdrat of Hd is found. That is, H^drat ≌∫Hdl ×H is proved. The existence and uniqueness of integrals for braided Hopf algebras in the Yetter-Drinfeld category (BBYD, C) are given.