摘要
Let F be an algebraically closed field of prime characteristic p > 2,and g be a simple Lie superalgebra of special type or Hamiltonian type over F.We construct the simple g-modules with non-singular characters of height more than one,and some simple modules with singular characters of height more than five.Furthermore,for the case of special type Lie superalgebras,we also construct a class of simple modules with regular semisimple characters of height one.All those simple modules mentioned above are proved to be reduced Kac modules.
Let F be an algebraically closed field of prime characteristic p 〉 2, and g be a simple Lie superalgebra of special type or Hamiltonian type over F. We construct the simple g-modules with non-singular characters of height more than one, and some simple modules with singular characters of height more than five. Furthermore, for the case of special type Lie superalgebras, we also construct a class of simple modules with regular semisimple characters of height one. All those simple modules mentioned above are proved to be reduced Kac modules.
基金
supported by National Natural Science Foundation of China(Grant Nos.11126062 and 11201293)
the Innovation Program of Shanghai Municipal Education Commission(Grant No.13YZ077)
