
Journal of Lie Theory 30 (2020), No. 1, 145154 Copyright Heldermann Verlag 2020 Block Degeneracy for Graded Lie Superalgebras of Cartan Type Ke Ou Dept. of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming 650221, P. R. China justinok1311@hotmail.com Let K be an algebraically closed field of characteristic p > 0. In this short note, we illustrate a class of Lie superalgebras over K such that the category of restricted supermodules is of one block. As an application, if p > 3 and g is a graded restricted Cartan type Lie superalgebra of type W, S and H, then the category of restricted supermodules of g is of one block. Keywords: Lie superalgebra of Cartan type, block, restricted supermodule, baby Verma module. MSC: 17B10, 17B35, 17B50, 17B70. [ Fulltextpdf (124 KB)] for subscribers only. 