A型双参数量子代数的融合过程

IF 0.2 Q4 MATHEMATICS

Bulletin of the Institute of Mathematics Academia Sinica New Series Pub Date : 2014-02-15 DOI:10.21915/BIMAS.2019102

N. Jing, Ming Liu

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引用次数: 2

摘要

当$rs^{-1}$为泛型时，使用融合过程显式构造了双参数量子包络代数$U_{r,s}(\mathfrak{sl}_n)$的有限维不可约模。这为类型为$A$的双参数量子线性代数提供了Schur-Weyl对偶性的替代和组合描述。

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On Fusion Procedure For The Two-Parameter Quantum Algebra In Type A

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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来源期刊

Bulletin of the Institute of Mathematics Academia Sinica New Series MATHEMATICS-

自引率

50.00%

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