On fusion procedure for the two-parameter quantum algebra in type A

Abstract

Finite dimensional irreducible modules of the two-parameter quantum enveloping algebra $U_{r,s}({\mathfrak{sl}}_n)$ are explicitly constructed using the fusion procedure when $r{s}^{-1}$ is generic. This provides an alternative and combinatorial description of the Schur-Weyl duality for the two-parameter quantum linear algebras of type $A$.

12 pages. New title and updated version

References in corpus (4)

• On the idempotents of Hecke algebras
• A mixed hook-length formula for affine Hecke algebras
• Fusion procedure for the Yang-Baxter equation and Schur-Weyl duality
• Wedge modules for two-parameter quantum groups

Cited by in corpus (1)

• Schur-Weyl duality for $U_{v,t}(s{l}_n)$