Global bases for Bosonic extensions of quantum unipotent coordinate rings
Abstract In the paper, we establish the global basis theory for the bosonic extension associated with an arbitrary symmetrizable generalized Cartan matrix. When is of simply laced finite type, is isomorphic to the quantum Grothendieck ring of the Hernandez–Leclerc category over a quantum affine algebra of untwisted type. In this case, we show that the ‐characters of simple modules in correspond to the normalized global basis of .
Authors
- Masaki Kashiwara (ORCID: https://orcid.org/0000-0001-6851-7581)
- Euiyong Park (ORCID: https://orcid.org/0000-0002-5560-5387)
- Se‐jin Oh (ORCID: https://orcid.org/0000-0001-6409-5385)
- Myungho Kim (ORCID: https://orcid.org/0000-0002-4594-8941)
Institutions
- University of Seoul (KR)
- Kyoto University (JP)
- Kyung Hee University (KR)
- Sungkyunkwan University (KR)
Publication Details
- Journal
- Proceedings of the London Mathematical Society
- Published
- 2025-08-01
- DOI
- https://doi.org/10.1112/plms.70076
- Primary Topic
- Algebraic structures and combinatorial models
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Research Foundation of Korea
- Japan Society for the Promotion of Science