Injective hulls of simple modules over finite dimensional nilpotent complex Lie superalgebras
Rings and Algebras
2013-02-26 v1
Abstract
We show that the finite dimensional nilpotent complex Lie superalgebras g whose injective hulls of simple U(g)-modules are locally Artinian are precisely those whose even part g_0 is isomorphic to a nilpotent Lie algebra with an abelian ideal of codimension 1 or to a direct product of an abelian Lie algebra and a certain 5-dimensional or a certain 6-dimensional nilpotent Lie algebra.
Keywords
Cite
@article{arxiv.1108.3277,
title = {Injective hulls of simple modules over finite dimensional nilpotent complex Lie superalgebras},
author = {Can Hatipoglu and Christian Lomp},
journal= {arXiv preprint arXiv:1108.3277},
year = {2013}
}