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

Keli Zheng, Yongzheng Zhang and Wei Song

Vol. 269 (2014), No. 1, 199–218

DOI: 10.2140/pjm.2014.269.199

Abstract

We study the natural filtrations of the finite-dimensional modular Lie superalgebras $W\left(n,m\right)$ and $H\left(n,m\right)$. 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.

Keywords

modular Lie superalgebras, derivation superalgebras, natural filtrations

Mathematical Subject Classification 2010

Primary: 17B40, 17B05

Secondary: 17B50, 17B70

Milestones

Received: 17 December 2012

Revised: 27 August 2013

Accepted: 2 September 2013

Published: 15 July 2014