Representations of the Witt Lie Superalgebra with p-character of Height One

On restricted representations of restricted contact Lie superalgebras of odd type

“…Quite recently, Shu and Zhang determined all restricted and some non-restricted simple modules of the Witt type modular Lie superalgebras by virtue of Serganova's odd reflections together with Jantzen's u(g)-T module category (see [11,12]). Later, Shu, Yao and Duan studied modular representations of the first four kinds of Cartan type modular Lie superalgebras (see [2,3,10,[15][16][17]). In particular, they characterized some non-restricted representations of Witt type, special type and Hamiltonian type modular Lie superalgebras in [2,3,16].…”

“…Later, Shu, Yao and Duan studied modular representations of the first four kinds of Cartan type modular Lie superalgebras (see [2,3,10,[15][16][17]). In particular, they characterized some non-restricted representations of Witt type, special type and Hamiltonian type modular Lie superalgebras in [2,3,16]. This paper is a sequel to [13,18], in which restricted representations of the Hamiltonian and contact Lie superalgebras of odd type are studied.…”