Gauss Decomposition of the Yangian Y (gl M|n )
Gauss Decomposition of the Yangian Y (gl M|n )
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Yangian Y 的高斯分解 (gl M|n )
DOI：
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发表时间：
2008
期刊：
影响因子：
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通讯作者：
Lucy Gow
中科院分区：
文献类型：
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作者：
Lucy Gow
本文描述了一般线性李超代数的Yangian Y （glm|n）的高斯分解。这给出了这个Yangian与经典李超代数Y （a (m−1,n−1)）的Yangian之间的联系。我们还证明了量子贝累兹期的系数产生了扬期Y的中心（glm|n）。这是纳扎罗夫1991年的一个猜想。Brundan和Kleshchev以及crampeve的论文已经研究了这种高斯分解对洋期Y （gln）的影响，蔡金芳、鞠国兴、吴科和王世坤的论文也研究了这种高斯分解对超洋期Y （gl1 bb1）的影响。
Here we describe a Gauss decomposition of the Yangian Y (glm|n) of the general linear Lie superalgebra. This gives a connection between this Yangian and the Yangian of the classical Lie superalgebra Y (A(m− 1, n− 1)) defined and studied in papers by Stukopin. We also show that the coefficients of the quantum Berezinian generate the centre of the Yangian Y (glm|n). This is a conjecture of Nazarov dating back to 1991. Such Gauss decompositions have already been studied for the Yangian Y (gln) in papers by Brundan and Kleshchev, and Crampé, as well as for the super-Yangian Y (gl1|1) in the work of Jin-fang Cai, Guo-xing Ju, Ke Wu and Shi-kun Wang.