Analogue of Feigin’s Map on the <i>ι</i> Quantum Groups of Split Type
Abstract The (universal) $\imath $quantum groups are regarded as a vast generalization of (Drinfeld double) quantum groups. We establish an algebra homomorphism from the universal $\imath $quantum group of split type to a certain quantum torus, which can be viewed as an $\imath $analogue of Feigin’s map on the quantum group.
Authors
- Haicheng Zhang
- Shiquan Ruan (ORCID: https://orcid.org/0000-0001-9272-8709)
- Ming Lu
Institutions
- Nanjing Normal University (CN)
- Xiamen University (CN)
- Sichuan University (CN)
- Chengdu University (CN)
Publication Details
- Journal
- International Mathematics Research Notices
- Published
- 2025-10-01
- DOI
- https://doi.org/10.1093/imrn/rnaf297
- Primary Topic
- Algebraic structures and combinatorial models
- Type
- article
- Field-Weighted Citation Impact
- 0.00