On Terwilliger $\mathbb{F}$-algebras of factorial association schemes
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866909135594848256 |
|---|---|
| author | Jiang, Yu |
| author_facet | Jiang, Yu |
| contents | The Terwilliger algebras of association schemes over an arbitrary field $\mathbb{F}$ were called the Terwilliger $\mathbb{F}$-algebras of association schemes in [8]. In this paper, we study the Terwilliger $\mathbb{F}$-algebras of factorial association schemes. We determine the $\mathbb{F}$-dimensions, the centers, the semisimplicity, the Jacobson radicals, and the algebraic structures of the Terwilliger $\mathbb{F}$-algebras of factorial association schemes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_08537 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On Terwilliger $\mathbb{F}$-algebras of factorial association schemes Jiang, Yu Combinatorics Rings and Algebras Representation Theory 05E30, 05E16 The Terwilliger algebras of association schemes over an arbitrary field $\mathbb{F}$ were called the Terwilliger $\mathbb{F}$-algebras of association schemes in [8]. In this paper, we study the Terwilliger $\mathbb{F}$-algebras of factorial association schemes. We determine the $\mathbb{F}$-dimensions, the centers, the semisimplicity, the Jacobson radicals, and the algebraic structures of the Terwilliger $\mathbb{F}$-algebras of factorial association schemes. |
| title | On Terwilliger $\mathbb{F}$-algebras of factorial association schemes |
| topic | Combinatorics Rings and Algebras Representation Theory 05E30, 05E16 |
| url | https://arxiv.org/abs/2403.08537 |