东南大学学报（英文版）2016，Vol.32Issue(4)：524-526,3.DOI:10.3969/j.issn.1003-7985.2016.04.022
基于Galois对象的新bornological量子群的构造
Construction of new bornological quantum groups based on Galois objects
摘要
Abstract
Let A be a bornological quantum group and R a bornological algebra. If R is an essential A-module, then there is a unique extension to M( A)-module with 1x=x. There is a one-to-one corresponding relationship between the actions of A and the coactions of ^A. If R is a Galois object for A, then there exists a faithful δ-invariant functional on R. Moreover, the Galois objects also have modular properties such as algebraic quantum groups. By constructing the comultiplication Δ, counit ε, antipode S and invariant functional φ on ^R⊗^ ^R, ^R⊗^ ^R can be considered as a bornological quantum group.关键词
bornological量子群/作用和余作用/Galois理论/Galois对象Key words
bornological quantum groups/actions and coactions/Galois theory/Galois objects分类
数理科学引用本文复制引用
周楠,王栓宏..基于Galois对象的新bornological量子群的构造[J].东南大学学报（英文版）,2016,32(4):524-526,3.基金项目
Citation:Zhou Nan, Wang Shuanhong. Construction of new bornologi-cal quantum groups based on Galois objects[ J]. Journal of Southeast U- （）
