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Quantum Group Structure of Lie Superalgebra osp (1/2)

โœ Scribed by A. Hegazi; M. Mansour

Book ID
111566164
Publisher
Springer
Year
1999
Tongue
English
Weight
104 KB
Volume
38
Category
Article
ISSN
0020-7748

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๐Ÿ“œ SIMILAR VOLUMES

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โœ P. P. Kulish; N. Yu. Reshetikhin ๐Ÿ“‚ Article ๐Ÿ“… 1989 ๐Ÿ› Springer ๐ŸŒ English โš– 232 KB

A quantum analogue of the simplest superalgebra osp(21 1) and its fimte-dimensional, irreducible representations are found. The corresponding constant solution to the Yang-Baxter equation is constructed and is used to formulate the Hopf superalgebra of functions on the quantum supergroup OSp( 2 I 1)

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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'