Discretization of Baker–Akhiezer modules and commuting difference operators in several discrete variables
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- by Andrey Mironov and Atsushi Nakayashiki
- Trans. Moscow Math. Soc. 2013, 261-279
- DOI: https://doi.org/10.1090/S0077-1554-2014-00219-3
- Published electronically: April 9, 2014
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Abstract:
We introduce the notion of discrete Baker-Akhiezer (DBA) modules, which are modules over the ring of difference operators, as a discretization of Baker-Akhiezer modules, which are modules over the ring of differential operators. We use it to construct commuting difference operators with matrix coefficients in several discrete variables.References
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Bibliographic Information
- Andrey Mironov
- Affiliation: Sobolev Institute of Mathematics, 630090 Novosibirsk, Russia — and — Laboratory of Geometric Methods in Mathematical Physics, Moscow State University
- Email: mironov@math.nsc.ru
- Atsushi Nakayashiki
- Affiliation: Department of Mathematics, Tsuda College, Kodaira, Tokyo, Japan
- Email: atsushi@tsuda.ac.jp
- Published electronically: April 9, 2014
- © Copyright 2014 American Mathematical Society
- Journal: Trans. Moscow Math. Soc. 2013, 261-279
- DOI: https://doi.org/10.1090/S0077-1554-2014-00219-3
- MathSciNet review: 3235800
Dedicated: Dedicated to Viktor Matveevich Buchstaber on his seventieth birthday