On the Infinite-Dimensional Modular Lie Superalgebras of O-Type  

作　　者：Xiaoning Xu Jing Zhao Yucai Su 

机构地区：[1]School of Mathematics and Statistics,Liaoning University,Shenyang 110036,China [2]不详

出　　处：《Algebra Colloquium》2024年第2期347-360,共14页代数集刊（英文版）

基　　金：Supported by the National Natural Science Foundation of China(11501274);the General Project for Educational Department of Liaoning Province,China(LJKMZ20220454,LJKZ0096).

摘　　要：The natural filtrations of infinite-dimensional Lie superalgebras of O-type over a field of positive characteristic are proved to be invariant under automorphisms by studying ad-nilpotent elements.We observe that two Lie superalgebras of O-type are isomorphic if and only if the integers in the definition of these Lie superalgebras are intrinsic.Thereby,all the Lie superalgebras of O-type are classified in the sense of isomorphism.

关 键 词：FILTRATION ISOMORPHISM CLASSIFICATION 

分 类 号：O15[理学—数学]