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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/2603.08169 |
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| _version_ | 1866911498900602880 |
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| author | Deng, Bangming Li, Weihao |
| author_facet | Deng, Bangming Li, Weihao |
| contents | We study primitive elements in the Ringel-Hall algebra H(A) of an algebra A over a finite field associated with a quiver with automorphism. When A is a tame hereditary algebra, we give a description of primitive elements in H(A) which generalizes and improves a result of Hennecart (IMRN 2021) for tame quivers. Moreover, we obtain an identity concerning primitive elements in the subalgebra of H(A) generated by regular A-modules which enables us to construct an explicit basis for the space of primitive elements in H(A). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_08169 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Primitive elements in Ringel-Hall algebras of tame hereditary algebras Deng, Bangming Li, Weihao Representation Theory We study primitive elements in the Ringel-Hall algebra H(A) of an algebra A over a finite field associated with a quiver with automorphism. When A is a tame hereditary algebra, we give a description of primitive elements in H(A) which generalizes and improves a result of Hennecart (IMRN 2021) for tame quivers. Moreover, we obtain an identity concerning primitive elements in the subalgebra of H(A) generated by regular A-modules which enables us to construct an explicit basis for the space of primitive elements in H(A). |
| title | Primitive elements in Ringel-Hall algebras of tame hereditary algebras |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2603.08169 |