Cohomological Hall algebras of quivers and Yangians
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866916296100151296 |
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| author | Schiffmann, Olivier Vasserot, Eric |
| author_facet | Schiffmann, Olivier Vasserot, Eric |
| contents | We construct an isomorphism between the preprojective cohomological Hall algebra of an arbitrary quiver and a positive half of the corresponding Maulik-Okounkov Yangian, which intertwines the respective actions on the cohomology of the Nakajima quiver varieties. We use this to prove a conjecture of Okounkov relating the character of the Maulik-Okounkov Lie algebra to Kac polynomials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_15803 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Cohomological Hall algebras of quivers and Yangians Schiffmann, Olivier Vasserot, Eric Representation Theory We construct an isomorphism between the preprojective cohomological Hall algebra of an arbitrary quiver and a positive half of the corresponding Maulik-Okounkov Yangian, which intertwines the respective actions on the cohomology of the Nakajima quiver varieties. We use this to prove a conjecture of Okounkov relating the character of the Maulik-Okounkov Lie algebra to Kac polynomials. |
| title | Cohomological Hall algebras of quivers and Yangians |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2312.15803 |