Representation type of higher level cyclotomic quiver Hecke algebras in affine type C
We determine the representation type of cyclotomic quiver Hecke algebras of affine type C. In the tame cases, we explicitly describe their basic algebras under the assumption <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mo form="prefix">char</mml:mo> <mml:mi>𝕜</mml:mi> <mml:mo>≠</mml:mo> <mml:mn>2</mml:mn> </mml:mrow> </mml:math> , relying on the Morita invariance of cellularity.
Authors
- Linliang Song (ORCID: https://orcid.org/0000-0002-2170-132X)
- Berta Hudak
- Q WANG
- Susumu Ariki
Institutions
- Tongji University (CN)
- Okinawa Institute of Science and Technology Graduate University (JP)
- Dalian University of Technology (CN)
- The University of Osaka (JP)
Publication Details
- Journal
- Annals of representation theory
- Published
- 2026-02-05
- DOI
- https://doi.org/10.5802/art.34
- Primary Topic
- Algebraic structures and combinatorial models
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Natural Science Foundation of Shanghai
- National Natural Science Foundation of China
- Japan Society for the Promotion of Science
- Fundamental Research Funds for the Central Universities