On restricted representations of the extended special type Lie superalgebra \({\bar{S}(m, n, 1)}\)
Let \(\bar{S}(m,n,{\mathbf 1})\) be the extended special type Lie superalgebra over an algebraically closed field of characteristic \(p>2\). The author classifies the iso-classes of simple restricted \(\bar{S}(m,n,{\mathbf 1})\)-modules and provides a necessary and sufficient condition for restricted baby Kac modules to be simple.
Lie superalgebra of extended special type
scientific article; zbMATH DE number 6162235