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

Title
Injective hulls of simple modules over finite dimensional nilpotent complex Lie superalgebras
Type
Article in International Scientific Journal
Year
2012
Authors
Osman Hatipglu
(Author)
FCUP
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Christian Lomp
(Author)
FCUP
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Journal
Title: Journal of AlgebraImported from Authenticus Search for Journal Publications
Pages: 79-91
ISSN: 0021-8693
Publisher: Elsevier
Scientific classification
FOS: Natural sciences > Mathematics
Other information
Authenticus ID: P-002-8S6
Abstract (EN): 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 go 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. (C) 2012 Elsevier Inc. All rights reserved.
Language: English
Type (Professor's evaluation): Scientific
Contact: clomp@fc.up.pt
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