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

• Type: Article in International Scientific Journal
• Date: 2012

Authors

Osman Hatipglu (Author) FCUP; Christian Lomp (Author) FCUP

Journal

Title: Journal of Algebra

Pages: 79-91

ISSN: 0021-8693

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 7 Citations

Scopus - 6 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-002-8S6

DOI: 10.1016/j.jalgebra.2012.03.033

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