On the Harish-Chandra Homomorphism for Quantum Superalgebras
On the Harish-Chandra Homomorphism for Quantum Superalgebras
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关于量子超代数的 Harish-Chandra 同态
DOI：
10.1007/s00220-022-04394-x
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发表时间：
2021-11
影响因子：
2.4
通讯作者：
Yu Ye
中科院分区：
文献类型：
--
作者：
Yang Luo;Yongjie Wang;Yu Ye
In this paper, we introduce the Harish-Chandra homomorphism for the quantum superalgebra (mathrm {U}_q({mathfrak {g}})) associated with a simple basic Lie superalgebra ({mathfrak {g}}) and give an explicit description of its image. We use it to prove that the center of (mathrm {U}_q({mathfrak {g}})) is isomorphic to a subring of the ring (J({mathfrak {g}})) of exponential super-invariants in the sense of Sergeev and Veselov, establishing a Harish-Chandra type theorem for (mathrm {U}_q({mathfrak {g}})). As a byproduct, we obtain a basis of the center of (mathrm {U}_q({mathfrak {g}})) with the aid of quasi-R-matrix.
In this paper, we introduce the Harish-Chandra homomorphism for the quantum superalgebra (mathrm {U}_q({mathfrak {g}})) associated with a simple basic Lie superalgebra ({mathfrak {g}}) and give an explicit description of its image. We use it to prove that the center of (mathrm {U}_q({mathfrak {g}})) is isomorphic to a subring of the ring (J({mathfrak {g}})) of exponential super-invariants in the sense of Sergeev and Veselov, establishing a Harish-Chandra type theorem for (mathrm {U}_q({mathfrak {g}})). As a byproduct, we obtain a basis of the center of (mathrm {U}_q({mathfrak {g}})) with the aid of quasi-R-matrix.
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DOI：
10.1090/conm/506/09939
发表时间：
2008-11
期刊：
arXiv: Quantum Algebra
影响因子：
--
作者：
N. Hu;Yufeng Pei;M. Rosso
通讯作者：
N. Hu;Yufeng Pei;M. Rosso
影响因子：
1.3
作者：
Rui-bin Zhang
通讯作者：
Rui-bin Zhang
DOI：
10.1007/bf02433452
发表时间：
1996-09
期刊：
Selecta Mathematica
影响因子：
--
作者：
V. Serganova
通讯作者：
V. Serganova
影响因子：
0.9
作者：
Yung Gao;N. Hu;Honglian Zhang
通讯作者：
Yung Gao;N. Hu;Honglian Zhang
影响因子：
0.9
作者：
Pierre Baumann
通讯作者：
Pierre Baumann