Skip to Main Content

Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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.

 

Twisted Yangians, twisted quantum loop algebras and affine Hecke algebras of type $BC$
HTML articles powered by AMS MathViewer

by Hongjia Chen, Nicolas Guay and Xiaoguang Ma PDF
Trans. Amer. Math. Soc. 366 (2014), 2517-2574 Request permission

Abstract:

We study twisted Yangians of type AIII which have appeared in the literature under the name of reflection algebras. They admit $q$-versions which are new twisted quantum loop algebras. We explain how these can be defined equivalently either via the reflection equation or as coideal subalgebras of Yangians of $\mathfrak {gl}_n$ (resp. of quantum loop algebras of $\mathfrak {gl}_n$). The connection with affine Hecke algebras of type $BC$ comes from a functor of Schur-Weyl type between their module categories.
References
Similar Articles
  • Retrieve articles in Transactions of the American Mathematical Society with MSC (2010): 17B37, 20C08
  • Retrieve articles in all journals with MSC (2010): 17B37, 20C08
Additional Information
  • Hongjia Chen
  • Affiliation: School of Mathematical Sciences, University of Science and Technology of China, Hefei, Anhui, 230026, People’s Republic of China
  • Email: hjchenmath@gmail.com
  • Nicolas Guay
  • Affiliation: Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta, Canada
  • Email: nguay@ualberta.ca
  • Xiaoguang Ma
  • Affiliation: Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, People’s Republic of China
  • Email: xgma@math.tsinghua.edu.cn
  • Received by editor(s): January 1, 2012
  • Received by editor(s) in revised form: July 6, 2012
  • Published electronically: January 31, 2014
  • Additional Notes: The second author was supported by an NSERC Discovery Grant. Special thanks to Alexander Molev for answering some of our questions and to M. Nazarov for a copy of his unpublished note and for allowing us to reproduce the proof of one of his results, namely Theorem 4.7
    The third author was supported by a Postdoctoral Fellowship of the Pacific Institute for the Mathematical Sciences.
  • © Copyright 2014 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Trans. Amer. Math. Soc. 366 (2014), 2517-2574
  • MSC (2010): Primary 17B37, 20C08
  • DOI: https://doi.org/10.1090/S0002-9947-2014-05994-1
  • MathSciNet review: 3165646