Frontiers of Mathematics in China >

2013 , Vol. 8 >Issue 5: 1117 - 1128

DOI: https://doi.org/10.1007/s11464-013-0316-8

RESEARCH ARTICLE

A twisted quantum toroidal algebra

  • Naihuan JING 1,2 ,
  • Rong jia LIU , 1
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  • 1. School of Sciences, South China University of Technology, Guangzhou 510640, China
  • 2. Department of Mathematics, North Carolina State University, Raleigh, NC 27695, USA

Received date: 16 Jun 2012

Accepted date: 17 Apr 2013

Published date: 01 Oct 2013

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg
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Abstract

As an analog of the quantum TKK algebra, a twisted quantum toroidal algebra of type A1 is introduced. Explicit realization of the new quantum TKK algebra is constructed with the help of twisted quantum vertex operators over a Fock space.

Key words： Vertex operator; toroidal algebra; quantum algebra

Cite this article

Naihuan JING , Rong jia LIU . A twisted quantum toroidal algebra[J]. Frontiers of Mathematics in China, 2013 , 8(5) : 1117 -1128 . DOI: 10.1007/s11464-013-0316-8

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