乘子Hopf代数的广义交叉积与L-R smash积

doi:10.13371/j.cnki.chin.q.j.m.2014.02.019

数学季刊 ›› 2014, Vol. 29 ›› Issue (2): 283-291.doi: 10.13371/j.cnki.chin.q.j.m.2014.02.019

乘子Hopf代数的广义交叉积与L-R smash积

1. School of Mathematics and Statistics, Henan University of Science and Technology 2. Department of Mathematics, Zhejiang University 3. College of Mathematics and Information Science, Henan Polytechnic University

收稿日期:2012-12-19 出版日期:2014-06-30 发布日期:2023-04-10
作者简介:ZHAO Li-hui(1979-), female, native of Luoyang, Henan, a lecturer of Henan University of Science and Technology, Ph.D., engages in noncommutative algebra; WANG Cai-hong(1980-), female, native of Zhengzhou, Henan, a lecturer of Henan Polytechnic University, Ph.D., engages in noncommutative algebra.
基金资助:
Supported by the Scientific Research Foundation for Doctoral Scientists of Henan University of Science and Technology(09001303)； Supported by the National Natural Science Foundation of China(11101128)

Generalized Crossed Products and L-R Smash Products of Multiplier Hopf Algebras

1. School of Mathematics and Statistics, Henan University of Science and Technology 2. Department of Mathematics, Zhejiang University 3. College of Mathematics and Information Science, Henan Polytechnic University

Received:2012-12-19 Online:2014-06-30 Published:2023-04-10
About author:ZHAO Li-hui(1979-), female, native of Luoyang, Henan, a lecturer of Henan University of Science and Technology, Ph.D., engages in noncommutative algebra; WANG Cai-hong(1980-), female, native of Zhengzhou, Henan, a lecturer of Henan Polytechnic University, Ph.D., engages in noncommutative algebra.
Supported by:
Supported by the Scientific Research Foundation for Doctoral Scientists of Henan University of Science and Technology(09001303)； Supported by the National Natural Science Foundation of China(11101128)

摘要/Abstract

摘要： In this paper we generalize the notions of crossed products and L-R smash products in the context of multiplier Hopf algebras. We use comodule algebras to define generalized diagonal crossed products, L-R smash products, two-sided smash products and two-sided crossed products and prove that they are all associative algebras. Then we show the isomorphic relations of them.

关键词: multiplier Hopf algebra, diagonal crossed product, L-R smash product, two-sided smash product, two-sided crossed product

Abstract: In this paper we generalize the notions of crossed products and L-R smash products in the context of multiplier Hopf algebras. We use comodule algebras to define generalized diagonal crossed products, L-R smash products, two-sided smash products and two-sided crossed products and prove that they are all associative algebras. Then we show the isomorphic relations of them.

Key words: multiplier Hopf algebra, diagonal crossed product, L-R smash product, two-sided smash product, two-sided crossed product

中图分类号:

O153.3

赵利辉, 王彩虹. 乘子Hopf代数的广义交叉积与L-R smash积[J]. 数学季刊, 2014, 29(2): 283-291.

ZHAO Li-hui, WANG Cai-hong. Generalized Crossed Products and L-R Smash Products of Multiplier Hopf Algebras[J]. Chinese Quarterly Journal of Mathematics, 2014, 29(2): 283-291.

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乘子Hopf代数的广义交叉积与L-R smash积

Generalized Crossed Products and L-R Smash Products of Multiplier Hopf Algebras

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