Hall algebras and quantum symmetric pairs of Kac-Moody type
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2020
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| _version_ | 1866913379036168192 |
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| author | Lu, Ming Wang, Weiqiang |
| author_facet | Lu, Ming Wang, Weiqiang |
| contents | We extend our $\imath$Hall algebra construction from acyclic to arbitrary $\imath$quivers, where the $\imath$quiver algebras are infinite-dimensional 1-Gorenstein in general. Then we establish an injective homomorphism from the universal $\imath$quantum group of Kac-Moody type arising from quantum symmetric pairs to the $\imath$Hall algebra associated to a virtually acyclic $\imath$quiver. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2006_06904 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Hall algebras and quantum symmetric pairs of Kac-Moody type Lu, Ming Wang, Weiqiang Representation Theory Combinatorics Quantum Algebra We extend our $\imath$Hall algebra construction from acyclic to arbitrary $\imath$quivers, where the $\imath$quiver algebras are infinite-dimensional 1-Gorenstein in general. Then we establish an injective homomorphism from the universal $\imath$quantum group of Kac-Moody type arising from quantum symmetric pairs to the $\imath$Hall algebra associated to a virtually acyclic $\imath$quiver. |
| title | Hall algebras and quantum symmetric pairs of Kac-Moody type |
| topic | Representation Theory Combinatorics Quantum Algebra |
| url | https://arxiv.org/abs/2006.06904 |