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.References
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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