Fermionic realization of two-parameter quantum affine algebra $U_{r,s}(s{l}_n)$

Abstract

We construct all fundamental modules for the two parameter quantum affine algebra of type $A$ using a combinatorial model of Young diagrams. In particular we also give a fermionic realization of the two-parameter quantum affine algebra.

References in corpus (2)

• Drinfel'd Doubles and Lusztig's Symmetries of Two-Parameter Quantum Groups
• Two-parameter Quantum Affine Algebra $U_{r,s}(\widehat{{\mathfrak{sl}}_n})$, Drinfel'd Realization and Quantum Affine Lyndon Basis

Cited by in corpus (5)

• Two-parameter twisted quantum affine algebras
• R-matrix realization of two-parameter quantum group U_{r,s}(gl_n)
• Novel isoclasses of one-parameter exotic small quantum groups originating from a two-parameter framework
• On finite-dimensional representations of two-parameter quantum affine algebras
• Lie Superalgebras arising from bosonic representation