Restricted Kac modules of Hamiltonian Lie superalgebras of odd type (1403.0063v1)

Abstract: This paper aims to describe the restricted Kac modules of restricted Hamiltonian Lie superalgebras of odd type over an algebraically closed field of characteristic $p>3$. In particular, a sufficient and necessary condition for the restricted Kac modules to be irreducible is given in terms of typical weights.