Rota-Baxter type $H$-operators on pseudoalgebras
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917027264856064 |
|---|---|
| author | Gai, Botong Wang, Shuanhong |
| author_facet | Gai, Botong Wang, Shuanhong |
| contents | Let $H$ be a Hopf algebra. In this paper, we study a class of $H$-operators on $H$-pseudoalgebras, which resemble the Rota-Baxter $H$-operator, and they are called Rota-Baxter type $H$-operators. We firstly present some basic properties and examples. Then by using Rota-Baxter type $H$-operators, we construct a number of associative (resp. Lie, NS-) $H$-pseudoalgebras. Meanwhile, Rota-Baxter type $H$-operators on $H$-pseudoalgebras of rank one are studies respectively. Finally, we consider the annihilation algebras and $H$-conformal algebras induced by $H$-pseudoalgebras and corresponding Rota-Baxter type operators are discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_17222 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Rota-Baxter type $H$-operators on pseudoalgebras Gai, Botong Wang, Shuanhong Rings and Algebras Let $H$ be a Hopf algebra. In this paper, we study a class of $H$-operators on $H$-pseudoalgebras, which resemble the Rota-Baxter $H$-operator, and they are called Rota-Baxter type $H$-operators. We firstly present some basic properties and examples. Then by using Rota-Baxter type $H$-operators, we construct a number of associative (resp. Lie, NS-) $H$-pseudoalgebras. Meanwhile, Rota-Baxter type $H$-operators on $H$-pseudoalgebras of rank one are studies respectively. Finally, we consider the annihilation algebras and $H$-conformal algebras induced by $H$-pseudoalgebras and corresponding Rota-Baxter type operators are discussed. |
| title | Rota-Baxter type $H$-operators on pseudoalgebras |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2510.17222 |