Irreducible Weight Modules with a Finite-Dimensional Weight Space over the Twisted N z 1 SchrSdinger-Neveu- Schwarz Algebra  

Irreducible Weight Modules with a Finite-Dimensional Weight Space over the Twisted N z 1 SchrSdinger-Neveu- Schwarz Algebra

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作  者:Huanxia Fa Jianzhi Han Junbo Li 

机构地区:[1]School of Mathematics and Statistics, Qingdao University Qingdao, Shandong 266071, China [2]School of Mathematics and Statistics, Changshu Institute of Technology Changshu, Jiangsu 215500, China [3]School of Mathematical Sciences, Tongji University, Shanghai 200092, China [4]School of Mathematics and Statistics, Qingdao University Qingdao, Shandong 266071, China

出  处:《Algebra Colloquium》2017年第4期697-704,共8页代数集刊(英文版)

摘  要:It is shown that there are no simple mixed modules over the twisted N = 1 Schrodinger-Neveu-Schwarz algebra, which implies that every irreducible weight module over it with a non-trivial finite-dimensional weight space is a Harish-Chandra module.It is shown that there are no simple mixed modules over the twisted N = 1 Schrodinger-Neveu-Schwarz algebra, which implies that every irreducible weight module over it with a non-trivial finite-dimensional weight space is a Harish-Chandra module.

关 键 词:twisted N = 1 Schrodinger-Neveu-Schwarz algebra weight module irre-ducible module 

分 类 号:O1[理学—数学]

 

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