2019 / March Volume 14 No.1
On Fusion Procedure For The Two-Parameter Quantum Algebra In Type A
Published Date |
2019 / March
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Title | On Fusion Procedure For The Two-Parameter Quantum Algebra In Type A |
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Pagination | 15-29 |
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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DOI | |
AMS Subject Classification |
two-parameter quantum groups, fusion procedure, Schur-Weyl duality.
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Received |
2017-02-07
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Accepted |
2018-01-25
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