Multiplier Left Hopf Algebras
In this paper, we introduce and study the notion of a multiplier left Hopf algebra, which can be seen as an extension of the Van Daele’s multiplier Hopf algebras and the Green–Nichols–Taft’s left Hopf algebras. In particular, we investigate the relation between the notion of the Van Daele’s left mul...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2025-03-01
|
| Series: | Mathematics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/13/7/1138 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849730386404311040 |
|---|---|
| author | Chunxiao Yan Shuanhong Wang |
| author_facet | Chunxiao Yan Shuanhong Wang |
| author_sort | Chunxiao Yan |
| collection | DOAJ |
| description | In this paper, we introduce and study the notion of a multiplier left Hopf algebra, which can be seen as an extension of the Van Daele’s multiplier Hopf algebras and the Green–Nichols–Taft’s left Hopf algebras. In particular, we investigate the relation between the notion of the Van Daele’s left multiplier Hopf algebras and the one of our multiplier left Hopf algebras. Finally, we determine the case when a multiplier left Hopf algebra becomes a multiplier Hopf algebra. |
| format | Article |
| id | doaj-art-6c7f334f31114fa2a2a98cfd3cfead19 |
| institution | DOAJ |
| issn | 2227-7390 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj-art-6c7f334f31114fa2a2a98cfd3cfead192025-08-20T03:08:53ZengMDPI AGMathematics2227-73902025-03-01137113810.3390/math13071138Multiplier Left Hopf AlgebrasChunxiao Yan0Shuanhong Wang1School of Mathematics, Southeast University, Nanjing 210096, ChinaShing-Tung Yau Center, School of Mathematics, Southeast University, Nanjing 210096, ChinaIn this paper, we introduce and study the notion of a multiplier left Hopf algebra, which can be seen as an extension of the Van Daele’s multiplier Hopf algebras and the Green–Nichols–Taft’s left Hopf algebras. In particular, we investigate the relation between the notion of the Van Daele’s left multiplier Hopf algebras and the one of our multiplier left Hopf algebras. Finally, we determine the case when a multiplier left Hopf algebra becomes a multiplier Hopf algebra.https://www.mdpi.com/2227-7390/13/7/1138left Hopf algebramultiplier Hopf algebraleft antipodemultiplier left Hopf algebra |
| spellingShingle | Chunxiao Yan Shuanhong Wang Multiplier Left Hopf Algebras Mathematics left Hopf algebra multiplier Hopf algebra left antipode multiplier left Hopf algebra |
| title | Multiplier Left Hopf Algebras |
| title_full | Multiplier Left Hopf Algebras |
| title_fullStr | Multiplier Left Hopf Algebras |
| title_full_unstemmed | Multiplier Left Hopf Algebras |
| title_short | Multiplier Left Hopf Algebras |
| title_sort | multiplier left hopf algebras |
| topic | left Hopf algebra multiplier Hopf algebra left antipode multiplier left Hopf algebra |
| url | https://www.mdpi.com/2227-7390/13/7/1138 |
| work_keys_str_mv | AT chunxiaoyan multiplierlefthopfalgebras AT shuanhongwang multiplierlefthopfalgebras |