Infinite-Dimensional Modular Lie SuperalgebraΩ
Keyword(s):
All ad-nilpotent elements of the infinite-dimensional Lie superalgebraΩover a field of positive characteristic are determined. The natural filtration of the Lie superalgebraΩis proved to be invariant under automorphisms by characterizing ad-nilpotent elements. Then an intrinsic property is obtained by the invariance of the filtration; that is, the integers in the definition ofΩare intrinsic. Therefore, we classify the infinite-dimensional modular Lie superalgebraΩin the sense of isomorphism.
Keyword(s):
2010 ◽
Vol 06
(07)
◽
pp. 1541-1564
◽