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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.

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Quasi-Frobenius-Lusztig kernels for simple Lie algebras
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by Gongxiang Liu, Fred Van Oystaeyen and Yinhuo Zhang PDF
Trans. Amer. Math. Soc. 369 (2017), 2049-2086 Request permission

Abstract:

In the first author’s Math. Res. Lett. paper (2014), the quasi-Frobenius-Lusztig kernel associated with $\mathfrak {sl}_{2}$ was constructed. In this paper we construct the quasi-Frobenius-Lusztig kernels associated with any simple Lie algebra $\mathfrak {g}$.
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Additional Information
  • Gongxiang Liu
  • Affiliation: Department of Mathematics, Nanjing University, Nanjing 210093, People’s Republic of China
  • MR Author ID: 766485
  • Email: gxliu@nju.edu.cn
  • Fred Van Oystaeyen
  • Affiliation: Department of Mathematics and Computer Science, University of Antwerp, Antwerp, Belgium
  • MR Author ID: 176900
  • Email: fred.vanoystaeyen@ua.ac.be
  • Yinhuo Zhang
  • Affiliation: Department of Mathematics and Statistics, University of Hasselt, 3590 Diepenbeek, Belgium
  • MR Author ID: 310850
  • ORCID: 0000-0002-0551-1091
  • Email: yinhuo.zhang@uhasselt.be
  • Received by editor(s): October 20, 2014
  • Received by editor(s) in revised form: April 1, 2015
  • Published electronically: August 22, 2016
  • © Copyright 2016 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 369 (2017), 2049-2086
  • MSC (2010): Primary 17B37; Secondary 16T05
  • DOI: https://doi.org/10.1090/tran/6731
  • MathSciNet review: 3581227