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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Bosonic realization of toroidal Lie algebras of classical types
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by Naihuan Jing, Kailash C. Misra and Chongbin Xu PDF
Proc. Amer. Math. Soc. 137 (2009), 3609-3618 Request permission

Abstract:

Generalizing Feingold and Frenkel’s construction, we use Weyl bosonic fields to construct toroidal Lie algebras of types $A_n, B_n$, $C_n$ and $D_n$ of levels $-1, -2, -1/2$ and $-2$ respectively. In particular, our construction also gives new bosonic constructions for orthogonal Lie algebras in the cases of affine Lie algebras.
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Additional Information
  • Naihuan Jing
  • Affiliation: School of Sciences, South China University of Technology, Guangzhou 510640, People’s Republic of China – and – Department of Mathematics, North Carolina State University, Raleigh, North Carolina 27695-8205
  • MR Author ID: 232836
  • Email: jing@math.ncsu.edu
  • Kailash C. Misra
  • Affiliation: Department of Mathematics, North Carolina State University, Raleigh, North Carolina 27695-8205
  • MR Author ID: 203398
  • Email: misra@math.ncsu.edu
  • Chongbin Xu
  • Affiliation: School of Mathematics and Information Science, Wenzhou University, Wenzhou 325035, People’s Republic of China
  • Email: xuchongbin1977@126.com
  • Received by editor(s): November 19, 2008
  • Received by editor(s) in revised form: February 23, 2009
  • Published electronically: June 10, 2009
  • Additional Notes: The first author was supported by NSA grant H98230-06-1-0083 and NSFC grant 10728102, and the second author was supported by NSA grant H98230-08-0080.
  • Communicated by: Gail R. Letzter
  • © Copyright 2009 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 137 (2009), 3609-3618
  • MSC (2000): Primary 17B60, 17B67, 17B69; Secondary 17A45, 81R10
  • DOI: https://doi.org/10.1090/S0002-9939-09-09942-0
  • MathSciNet review: 2529867