RESEARCH ARTICLE

Wakimoto modules for twisted multi-loop algebra of type A1 × A1

  • Dexin LAN , 1 ,
  • Xiaoli KONG 2 ,
  • Jinglian JIANG 1
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  • 1. Department of Mathematics and Computer, Wuyi University, Wuyishan 354300, China
  • 2. Department of Mathematics, University of Kentucky, Lexington, KY 40506, USA

Received date: 21 Jan 2015

Accepted date: 01 Jul 2015

Published date: 18 Apr 2016

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg

Abstract

We construct a class of modules for the twisted multi-loop algebra of type A1×A1 by applying Wakimoto free bosonic realization. We also discuss the structures and the irreducibility of the Fock space.

Cite this article

Dexin LAN , Xiaoli KONG , Jinglian JIANG . Wakimoto modules for twisted multi-loop algebra of type A1 × A1[J]. Frontiers of Mathematics in China, 2016 , 11(2) : 323 -338 . DOI: 10.1007/s11464-015-0493-8

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