Simple modules for some Cartan-type Lie superalgebras. (English) Zbl 1361.17018
Summary: The modules are induced from the finite-dimensional Cartan-type modular Lie superalgebras \(W, S, H\) and \(K\) over a field of prime characteristic, respectively. We give the Cartan subalgebras of these modular Lie superalgebras. Using certain properties of the positive root vectors, we discuss the simplicity of these modules.
MSC:
17B50 | Modular Lie (super)algebras |
17B40 | Automorphisms, derivations, other operators for Lie algebras and super algebras |