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Drinfeld Realization of Quantum Twisted Affine Algebras via Braid Group

  • Published:2016 Issue: Volume:2016 Page:1-15
  • ISSN:1687-9120
  • Container-title:Advances in Mathematical Physics
  • language:en
  • Short-container-title:Advances in Mathematical Physics

Author:

Jing Naihuan12ORCID,Zhang Honglian1ORCID

Affiliation:

1. Department of Mathematics, Shanghai University, Shanghai 200436, China

2. Department of Mathematics, North Carolina State University, Raleigh, NC 27695, USA

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.

Funder

Simons Foundation

Publisher

Hindawi Limited

Subject

Applied Mathematics,General Physics and Astronomy

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On the Structure of Quantum Toroidal Superalgebra $${{\cal E}_{m|n}}$$;Acta Mathematica Sinica, English Series;2023-11

2. R-matrix Presentation of Quantum Affine Algebra in Type A(2)2n−1;Frontiers of Mathematics;2023-05

3. Twisted quantum affinizations and quantization of extended affine lie algebras;Transactions of the American Mathematical Society;2022-10-28

4. Vertex representation of quantum N-toroidal algebra for type F4;Communications in Algebra;2020-04-08

5. Two-parameter twisted quantum affine algebras;Journal of Mathematical Physics;2016-09
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