Left-Symmetric Superalgebra Structures on an Infinite-Dimensional Lie Superalgebra  

作　　者：Hongjia Chen Omer Hassan 

机构地区：[1]School of Mathematical Sciences,University of Science and Technology of China Hefei 230026,China

出　　处：《Algebra Colloquium》2023年第3期429-438,共10页代数集刊（英文版）

摘　　要：In this note, the compatible left-symmetric superalgebra structures on an infinite-dimensional Lie superalgebra with some natural grading conditions are completely determined. The results of earlier work on left-symmetric algebra structures on the Virasoro algebra play an essential role in determining these compatible structures.

关 键 词：left-symmetric superalgebra Virasoro algebra Lie superalgebra 

分 类 号：O15[理学—数学]