Bannai-Ito polynomials and dressing chains
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- by Maxim Derevyagin, Satoshi Tsujimoto, Luc Vinet and Alexei Zhedanov PDF
- Proc. Amer. Math. Soc. 142 (2014), 4191-4206 Request permission
Abstract:
Schur-Delsarte-Genin (SDG) maps and Bannai-Ito polynomials are studied. SDG maps are related to dressing chains determined by quadratic algebras. The Bannai-Ito polynomials and their kernel polynomials – the complementary Bannai-Ito polynomials – are shown to arise in the framework of the SDG maps.References
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Additional Information
- Maxim Derevyagin
- Affiliation: Department of Mathematics MA 4-2, Technische Universität Berlin, Strasse des 17. Juni 136, D-10623 Berlin, Germany
- Address at time of publication: Department of Mathematics, KU Leuven, Celestijnenlaan 200B, Box 2400, BE-3001 Leuven, Belgium
- Satoshi Tsujimoto
- Affiliation: Department of Applied Mathematics and Physics, Graduate School of Informatics, Kyoto University, Sakyo-ku, Kyoto 606-8501, Japan
- MR Author ID: 339527
- Luc Vinet
- Affiliation: Centre de recherches mathématiques, Université de Montréal, P.O. Box 6128, Centre-ville Station, Montréal, Québec, H3C 3J7, Canada
- MR Author ID: 178665
- ORCID: 0000-0001-6211-7907
- Alexei Zhedanov
- Affiliation: Donetsk Institute for Physics and Technology, 83114 Donetsk, Ukraine
- MR Author ID: 234560
- Received by editor(s): January 8, 2013
- Published electronically: August 1, 2014
- Additional Notes: The first author acknowledges the support of the European Research Council under the European Union Seventh Programme (FP/2007-2013)/ERC grant agreement No. 259173. The first and fourth authors thank the University of Montreal for its hospitality in the course of this study
The research of the third author was supported in part by a research grant from the Natural Sciences and Engineering Research Council (NSERC) of Canada - Communicated by: Sergei K. Suslov
- © Copyright 2014 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 142 (2014), 4191-4206
- MSC (2010): Primary 42C05; Secondary 17B80, 33C45, 47B36
- DOI: https://doi.org/10.1090/S0002-9939-2014-12165-4
- MathSciNet review: 3266989