Finite-dimensional Lie superalgebras of Cartan type over fields of prime characteristic
The author constructs Lie superalgebras of generalized Cartan type \(\overline{X} (m,n,t,\varphi)^{(\infty)}\) (for \(X= W,S,H\), or \(K\)) over fields of characteristic \(p>2\) by generalizing the construction of Lie algebras of generalized Cartan type. The simplicity of these algebras is proved along with the criterion for their restrictedness. Finally, the author states a conjecture about the classification of all simple Lie superalgebras for \(p>7\).
Lie superalgebras of generalized Cartan type
scientific article; zbMATH DE number 1063720