对偶的Hom-型拟Hopf代数的Monoidal范畴解释

doi:10.13371/j.cnki.chin.q.j.m.2015.02.009

数学季刊 ›› 2015, Vol. 30 ›› Issue (2): 218-226.doi: 10.13371/j.cnki.chin.q.j.m.2015.02.009

对偶的Hom-型拟Hopf代数的Monoidal范畴解释

1. School of Mathematics and Statistics, Institute of Contemporary Mathematics, Henan University2. People's Liberation Army of China,95129 Troops

收稿日期:2013-06-08 出版日期:2015-06-30 发布日期:2020-11-23
作者简介:CHENG Yong-sheng(1973-), male, native of Lankao, Henan, an associate professor of Henan University, Ph.D., engages in Lie theory.
基金资助:
Supported by the National Natural Science Foundation of China(11047030,11171055)； Supported by the Grant from China Scholarship Council(2011841026)；

Monoidal Category Approach to Dual Hom-quasi-Hopf Algebras

1. School of Mathematics and Statistics, Institute of Contemporary Mathematics, Henan University2. People's Liberation Army of China,95129 Troops

Received:2013-06-08 Online:2015-06-30 Published:2020-11-23
About author:CHENG Yong-sheng(1973-), male, native of Lankao, Henan, an associate professor of Henan University, Ph.D., engages in Lie theory.
Supported by:
Supported by the National Natural Science Foundation of China(11047030,11171055)； Supported by the Grant from China Scholarship Council(2011841026)；

摘要/Abstract

摘要： In this paper, we categorify a Hom-associative algebra by imposing the Homassociative law up to some isomorphisms on the multiplication map and requiring that these isomorphisms satisfy the Pentagon axiom, and obtain a 2-Hom-associative algebra. On the other hand, we introduce the dual Hom-quasi-Hopf algebra and show that any dual Homquasi-Hopf algebras can be viewed as a 2-Hom-associative algebra.

关键词: Monoidal category, 2-Hom-associative algebra, dual Hom-quasi-Hopf algebra

Abstract: In this paper, we categorify a Hom-associative algebra by imposing the Homassociative law up to some isomorphisms on the multiplication map and requiring that these isomorphisms satisfy the Pentagon axiom, and obtain a 2-Hom-associative algebra. On the other hand, we introduce the dual Hom-quasi-Hopf algebra and show that any dual Homquasi-Hopf algebras can be viewed as a 2-Hom-associative algebra.

Key words: Monoidal category, 2-Hom-associative algebra, dual Hom-quasi-Hopf algebra

中图分类号:

O153.3

程永胜, 刘国敬. 对偶的Hom-型拟Hopf代数的Monoidal范畴解释[J]. 数学季刊, 2015, 30(2): 218-226.

CHENG Yong-sheng, LIU Guo-jing. Monoidal Category Approach to Dual Hom-quasi-Hopf Algebras[J]. Chinese Quarterly Journal of Mathematics, 2015, 30(2): 218-226.

对偶的Hom-型拟Hopf代数的Monoidal范畴解释

Monoidal Category Approach to Dual Hom-quasi-Hopf Algebras

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