A Boson-fermion Realization of Highest Weight Modules over g^(l)_(M|N)(θ)  

作　　者：Fu Lin CHEN Xin HUANG Shao Bin TAN 

机构地区：[1]School of Mathematical Sciences,Xiamen University,Xiamen,361005,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2024年第12期2879-2903,共25页数学学报（英文版）

基　　金：supported by National Natural Science Foundation of China(Grant No.12161141001);the Fundamental Research Funds for the Central Universities(Grant No.20720230020);S.Tan is supported by National Natural Science Foundation of China(Grant No.12131018)。

摘　　要：In this paper,we construct a superfermionic representation as well as a vertex representation for twisted general linear affine Lie superalgebras.We also establish a module isomorphism between them,which generalizes the super boson-fermion correspondence of type B given by Kac-van de Leur.Based on this isomorphism,we determine explicitly the irreducible components of these two representations.Particularly,we obtain in this way two kinds of systematic construction of level 1 irreducible integrable highest weight modules for twisted general linear affine Lie superalgebras.

关 键 词：Twisted affine Lie superalgebra integrable highest weight module super boson-fermion correspondence 

分 类 号：O152.5[理学—数学]