Two-parameter twisted quantum affine algebras

Abstract

We establish Drinfeld realization for the two-parameter twisted quantum affine algebras using a new method. The Hopf algebra structure for Drinfeld generators is given for both untwisted and twisted two-parameter quantum affine algebras, which include the quantum affine algebras as special cases.

49 pages; Final updated version

References in corpus (4)

• Two-parameter Quantum Affine Algebra $U_{r,s}(\widehat{{\mathfrak{sl}}_n})$, Drinfel'd Realization and Quantum Affine Lyndon Basis
• Drinfeld realization of quantum twisted affine algebras via braid group
• On Hopf algebraic structures of quantum toroidal algebras
• Generating Functions with $\tau$-Invariance and Vertex Representations of Quantum Affine Algebras $U_{r,s}(\hat{\mathfrak{g}})$ (I): Simply-laced Cases

Cited by in corpus (5)

• PBWD bases and shuffle algebra realizations for $U_v(L{\mathfrak{sl}}_n),U_{v_1,v_2}(L{\mathfrak{sl}}_n),U_v(L\mathfrak{sl}(m|n))$ and their integral forms
• On Hopf algebraic structures of quantum toroidal algebras
• Quantum N-toroidal algebras and extended quantized GIM algebras of N-fold affinization
• Novel isoclasses of one-parameter exotic small quantum groups originating from a two-parameter framework
• Two-parameter Quantum Affine Algebra of Type ${\mathrm{C}}_n^{(1)},$ Drinfeld Realization and Vertex Representation