Injective hulls of simple modules over finite dimensional nilpotent complex Lie superalgebras

Details Injective hulls of simple modules over finite dimensional nilpotent complex Lie superalgebras Injective hulls of simple modules over finite dimensional nilpotent complex Lie superalgebras

2011-08-16

arxiv.org/abs/1108.3277v1

Mathematics

Rings and Algebras

Scientific paper

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.

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