Drinfeld realization of quantum twisted affine algebras via braid group

Abstract

The Drinfled 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 twisted braid group action.

New title, 22 pages, final version

Cited by in corpus (4)

• Two-parameter twisted quantum affine algebras
• R-Matrix presentation of quantum affine algebra in type $A_{2n-1}^{(2)}$
• Twisted quantum affinizations and quantization of extended affine Lie algebras
• Novel isoclasses of one-parameter exotic small quantum groups originating from a two-parameter framework