Howe duality and the quantum general linear group

Howe duality and the quantum general linear group
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DOI:
10.1090/s0002-9939-02-06892-2
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发表时间:
2002-12
期刊:
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影响因子:
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通讯作者:
Rui-bin Zhang
Rui-bin Zhang
中科院分区:
其他
文献类型:
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作者:
Rui-bin Zhang

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建立了一般线性代数的量子化包络代数对的Howe对偶.本文还证明了量子Howe对偶蕴含着Uq(gl,n)与Hecke代数之间的Jimbo对偶.
A Howe duality is established for a pair of quantized enveloping algebras of general linear algebras. It is also shown that this quantum Howe duality implies Jimbo's duality between U q (gl n ) and the Hecke algebra.