Enveloping algebras via motivic Hall algebras
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866915842109734912 |
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| author | Feng, Xinyi Xu, Fan |
| author_facet | Feng, Xinyi Xu, Fan |
| contents | We give a geometric realization of the whole universal enveloping algebra of the Borcherds-Bozec algebra using quiver with loops via the motivic semi-derived Hall algebra approach. In particular, using acyclic quivers, we give a geometric realization of the whole universal enveloping algebra of a certain generalized Kac-Moody algebra using the motivic Bridgeland's Hall algebra given in [12]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_06965 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Enveloping algebras via motivic Hall algebras Feng, Xinyi Xu, Fan Representation Theory 16G20, 17B37 We give a geometric realization of the whole universal enveloping algebra of the Borcherds-Bozec algebra using quiver with loops via the motivic semi-derived Hall algebra approach. In particular, using acyclic quivers, we give a geometric realization of the whole universal enveloping algebra of a certain generalized Kac-Moody algebra using the motivic Bridgeland's Hall algebra given in [12]. |
| title | Enveloping algebras via motivic Hall algebras |
| topic | Representation Theory 16G20, 17B37 |
| url | https://arxiv.org/abs/2603.06965 |