ON FUSION PROCEDURE FOR THE TWO-PARAMETER QUANTUM ALGEBRA IN TYPE A

BULLETIN OF THE INSTITUTE OF MATHEMATICS ACADEMIA SINICA NEW SERIES（2019）

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摘要

Finite dimensional irreducible modules of the two-parameter quantum enveloping algebra U-r,U-s(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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关键词

Two-parameter quantum groups,fusion procedure,Schur-Weyl duality

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