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Transactions of the Moscow Mathematical Society

This journal, a translation of Trudy Moskovskogo Matematicheskogo Obshchestva, contains the results of original research in pure mathematics.

ISSN 1547-738X (online) ISSN 0077-1554 (print)

The 2020 MCQ for Transactions of the Moscow Mathematical Society is 0.74.

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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.
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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

    • Dedicated: Dedicated to Viktor Matveevich Buchstaber on his seventieth birthday
  • © 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