Imaginary Modules over the Affine Nappi-Witten Algebra  

作　　者：Yi Xin BAO Yan An CAI 

机构地区：[1]School of Sciences,Harbin Institute of Technology(Shenzhen),Shenzhen 518055,P.R.China [2]Department of Mathematics,Soochow University,Suzhou 215006,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2022年第6期1041-1053,共13页数学学报（英文版）

基　　金：Supported by NSF of China(Grant Nos.11801117,11801390);the Natural Science Foundation of Guangdong Province,China(Grant No.2018A030313268);the General Finacial Grant from the China Postdoctoral Science Foundation(Grant No.2016M600140)。

摘　　要：In this paper,we consider the imaginary highest weight modules and the imaginary Whittaker modules for the affine Nappi-Witten algebra.We show that simple singular imaginary Whittaker modules at level(κ、c)(κ∈C~*)are simple imaginary highest weight modules.The necessary and sufficient conditions for these imaginary modules to be simple are given.All simple imaginary modules are classified.

关 键 词：Affine Nappi-Witten algebra imaginary Verma modules imaginary highest weight modules imaginary Whittaker modules simple modules 

分 类 号：O153.3[理学—数学]