Almost Commutative Terwilliger Algebras of Group Association Schemes II: Primitive Idempotents
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866929500247293952 |
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| author | Bastian, Nicholas L. |
| author_facet | Bastian, Nicholas L. |
| contents | This paper is a continuation of Almost Commutative Terwilliger Algebras of Group Association Schemes I: Classification [1]. In that paper, we found all groups G for which the Terwilliger algebra of the group association scheme, denoted T (G), is almost commutative. We also found the primitive idempotents for T (G) for three of the four types of such groups. In this paper, we determine the primitive idempotents for the fourth type. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_09482 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Almost Commutative Terwilliger Algebras of Group Association Schemes II: Primitive Idempotents Bastian, Nicholas L. Representation Theory Combinatorics 05E30, 05E16 This paper is a continuation of Almost Commutative Terwilliger Algebras of Group Association Schemes I: Classification [1]. In that paper, we found all groups G for which the Terwilliger algebra of the group association scheme, denoted T (G), is almost commutative. We also found the primitive idempotents for T (G) for three of the four types of such groups. In this paper, we determine the primitive idempotents for the fourth type. |
| title | Almost Commutative Terwilliger Algebras of Group Association Schemes II: Primitive Idempotents |
| topic | Representation Theory Combinatorics 05E30, 05E16 |
| url | https://arxiv.org/abs/2409.09482 |