The natural filtrations of finite-dimensional modular Lie superalgebras of Witt and Hamiltonian type

Abstract

We study the natural filtrations of the finite-dimensional modular Lie superalgebras W (n, m) and H(n, m). In particular, the natural filtrations which are invariant relative to the automorphisms of the Lie superalgebras are employed in order to characterize the Lie superalgebras themselves.

Constructions and Properties for a Finite-Dimensional Modular Lie Superalgebra K n , m

“…e finite-dimensional modular Lie superalgebras W(n, m), H(n, m) were constructed in [14,15], respectively. eir natural filtrations are investigated in [16]. e finitedimensional modular Lie superalgebra S(n, m) was given in [17].…”