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Advances in Mathematical Physics
Volume 2016, Article ID 4843075, 15 pages
http://dx.doi.org/10.1155/2016/4843075
Research Article

Drinfeld Realization of Quantum Twisted Affine Algebras via Braid Group

1Department of Mathematics, Shanghai University, Shanghai 200436, China
2Department of Mathematics, North Carolina State University, Raleigh, NC 27695, USA

Received 5 April 2016; Accepted 19 May 2016

Academic Editor: Claudio Dappiaggi

Copyright © 2016 Naihuan Jing and Honglian Zhang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The Drinfeld realization of quantum affine algebras has been tremendously useful since its discovery. Combining techniques of Beck and Nakajima with our previous approach, we give a complete and conceptual proof of the Drinfeld realization for the twisted quantum affine algebras using Lusztig’s braid group action.