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Deforming the Lie superalgebra of contact vector fields onS1|2inside the Lie superalgebra of pseudodifferential operators onS1|2

โœ Scribed by N. Ben Fraj; S. Omri


Publisher
SP MAIK Nauka/Interperiodica
Year
2010
Tongue
English
Weight
613 KB
Volume
163
Category
Article
ISSN
0040-5779

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โœ Maria Gorelik; Emmanuel Lanzmann ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 248 KB

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'