On the Structure of Quantum Toroidal Superalgebraε_(m|n)  

作　　者：Xiang Hua WU Hong Da LIN Hong Lian ZHANG 

机构地区：[1]Department of Mathematics,Shanghai University,Shanghai 200444,P.R.China [2]Newtouch Center for Mathematics of Shanghai University,Shanghai 200444,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2023年第11期2117-2138,共22页数学学报（英文版）

基　　金：the NSFC(Grant No.11871325,12271332);Shanghai Natural Science Foundation(No.22ZR1424600)。

摘　　要：Recently the quantum toroidal superalgebraε_(m|n)associated with gl_(m|n)was introduced by L.Bezerra and E.Mukhin,which is not a quantum Kac-Moody algebra.The quantum toroidal superalgebraε_(m|n)exploits infinite sequences of generators and relations of the form,which are called Drinfeld realization.In this paper,we use only finite set of generators and relations to define an associative algebraε'_(m|n)and show that there exists an epimorphism fromε'_(m|n)to the quantum toroidal superalgebraε_(m|n).In particular,the structure ofε'_(m|n)enjoys some properties like Drinfeld-Jimbo realization.

关 键 词：Quantum toroidal superalgebra Drinfeld realization Lie superalgebra 

分 类 号：O153.3[理学—数学]