The Generalized Witt Modular Lie Superalgebra of Cartan Type

Abstract

We construct the generalized Witt modular Lie superalgebraW of Cartan type. We give a set of generators forW and show thatW is an extension of a subalgebra ofW by an ideal J. Finally, we describe the homogeneous derivations of Z-degree ofW and we determine the derivation superalgebra ofW.2010 Mathematics subject classification: primary 17B50.