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Restricted Enveloping Algebras with Minimal Lie Derived Length

✍ Scribed by Francesco Catino; Salvatore Siciliano; Ernesto Spinelli

Publisher
Springer Netherlands
Year
2009
Tongue
English
Weight
260 KB
Volume
13
Category
Article
ISSN
1386-923X

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A well-known theorem of Duflo, the ``annihilation theorem,'' claims that the annihilator of a Verma module in the enveloping algebra of a complex semisimple Lie algebra is centrally generated. For the Lie superalgebra osp(1, 2l ), this result does not hold. In this article, we introduce a ``correct'