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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 2024 MCQ for Transactions of the Moscow Mathematical Society is 0.79.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Integrable Systems, Shuffle Algebras, and Bethe Equations
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by Boris L. Feigin
Translated by: V. E. Nazaikinskii
Trans. Moscow Math. Soc. 2016, 203-246
DOI: https://doi.org/10.1090/mosc/259
Published electronically: November 28, 2016

Abstract:

We speak about the part of integrable system theory dealing with conformal theory and $W$-algebras (ordinary and deformed). Some new approaches to finding Bethe equations that describe the spectrum of Hamiltonians of these quantum integrable systems are developed. The derivation of the Bethe equations is based on the technique of shuffle algebras arising in quantum group theory.
References
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Bibliographic Information
  • Boris L. Feigin
  • Affiliation: National Research University Higher School of Economics, Moscow, Russia
  • Email: borfeigin@gmail.com
  • Published electronically: November 28, 2016
  • Additional Notes: This research was supported by the Russian Science Foundation (grant no. 16-11-10316).
  • © Copyright 2016 American Mathematical Society
  • Journal: Trans. Moscow Math. Soc. 2016, 203-246
  • MSC (2010): Primary 17B37; Secondary 17B69, 17B80
  • DOI: https://doi.org/10.1090/mosc/259
  • MathSciNet review: 3643971