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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2604.21619 |
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| _version_ | 1866908989594271744 |
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| author | Erdmann, Karin Lim, Kay Jin |
| author_facet | Erdmann, Karin Lim, Kay Jin |
| contents | Schocker classified the representation type of the descent algebra of type $\mathbb{A}$ over any field of characteristic zero. In an earlier paper, the authors extended this classification for type $\mathbb{A}$ to fields of positive characteristic. In this paper, we complete the classification for all other types except for $\mathbb{E}_8$. The proof for type $\mathbb{B}$ is entirely theoretical, while some small cases in type $\mathbb{D}$ and the exceptional types require computer computation to determine their Ext-quivers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_21619 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The Representation Type of the Descent Algebras Erdmann, Karin Lim, Kay Jin Representation Theory 05E10, 16G60, 20F55 Schocker classified the representation type of the descent algebra of type $\mathbb{A}$ over any field of characteristic zero. In an earlier paper, the authors extended this classification for type $\mathbb{A}$ to fields of positive characteristic. In this paper, we complete the classification for all other types except for $\mathbb{E}_8$. The proof for type $\mathbb{B}$ is entirely theoretical, while some small cases in type $\mathbb{D}$ and the exceptional types require computer computation to determine their Ext-quivers. |
| title | The Representation Type of the Descent Algebras |
| topic | Representation Theory 05E10, 16G60, 20F55 |
| url | https://arxiv.org/abs/2604.21619 |