摘要
The embedding theorem is established for Z-graded transitive modular Lie superalgebras g■■■(g-1)satisfying the conditions: (i)g0■■(g-1) and g0-module g-1 is isomorphic to the natural■(g-1)-module; (ii)dim g1=2/3n(2n^2+1),where n=1/2dim g-1. In particular,it is proved that the finite-dimensional simple modular Lie superalgebras satisfying the conditions above are isomorphic to the odd Hamiltonian superalgebras.The restricted Lie superalgebras are also considered.
The embedding theorem is established for Z-graded transitive modular Lie superalgebras (i) g0(≌)(p)(g～1) and go-module g-1 is isomorphic to the natural (p)(g-1)-module;(ii) dim g1 =2/3n(2n2 + 1), where n =1/2 dim g-1.In particular, it is proved that the finite-dimensional simple modular Lie superalgebras satisfying the conditions above are isomorphic to the odd Hamiltonian superalgebras. The restricted Lie superalgebras are also considered.
基金
This work is partially supported by the National Natural Science Foundation of China(Grant No.10671160)
China Postdoctoral Science Foundation(Grant No.20060400107)
