Affiliation:
1. School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China
2. School of Applied Sciences, Jilin Teachers Institute of Engineering and Technology, Changchun 130052, China
Abstract
This paper constructs a series of modules from modular Lie superalgebrasW(0∣n),S(0∣n), andK(n)over a field of prime characteristicp≠2. Cartan subalgebras, maximal vectors of these modular Lie superalgebras, can be solved. With certain properties of the positive root vectors, we obtain that the sufficient conditions of these modules are irreducibleL-modules, whereL=W(0∣n),S(0∣n), andK(n).
Funder
Fundamental Research Funds for the Central Universities of China
Subject
Applied Mathematics,General Physics and Astronomy