Low-order Cohomology From Modular Lie Superalgebra W(2) To Kac Modules And Its Application

Over a field of characteristic p≥ 3,this paper studies the 0-th and 1-st cohomology of Witt-type Modular Lie superalgebra W(2)with coefficients in all Kac modules according to the classification of .At the same time,it can be obtained that the the 0-th cohomology space of W(2)with coefficients in non-restricted Kac modules is 0-dimensional by definition,and thus it is determined that the biderivation space of W(2)with coefficients in non-restricted Kac modules is 0-dimensional.