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arXiv · 1402.3665

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

Naihuan Jing·Ming Liu
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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 $rs^{-1}$ is generic. This provides an alternative and combinatorial description of the Schur-Weyl duality for the two-parameter quantum linear algebras of type $A$.

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BibTeXRIS

Naihuan Jing, Ming Liu. 2014-02-15. On fusion procedure for the two-parameter quantum algebra in type A. https://doi.org/10.21915/bimas.2019102

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