Representation type of finite quiver Hecke algebras of type $D^{(2)}_{\ell +1}$
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- by Susumu Ariki and Euiyong Park PDF
- Trans. Amer. Math. Soc. 368 (2016), 3211-3242 Request permission
Abstract:
We give an Erdmann-Nakano type theorem for the finite quiver Hecke algebras $R^{\Lambda _0}(\beta )$ of affine type $D^{(2)}_{\ell +1}$, which tells their representation type. If $R^{\Lambda _0}(\beta )$ is not of wild representation type, we may compute its stable Auslander-Reiten quiver.References
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Additional Information
- Susumu Ariki
- Affiliation: Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology, Osaka University, Toyonaka, Osaka 560-0043, Japan
- Email: ariki@ist.osaka-u.ac.jp
- Euiyong Park
- Affiliation: Department of Mathematics, University of Seoul, Seoul 130-743, Republic of Korea
- Email: epark@uos.ac.kr
- Received by editor(s): June 17, 2013
- Received by editor(s) in revised form: February 24, 2014
- Published electronically: July 22, 2015
- Additional Notes: The first author was supported in part by JSPS, Grant-in-Aid for Scientific Research (B) 23340006.
- © Copyright 2015 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 368 (2016), 3211-3242
- MSC (2010): Primary 16G60, 17B67, 81R10
- DOI: https://doi.org/10.1090/tran/6411
- MathSciNet review: 3451875