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On representations of the superalgebra osp(2, 1)

โœ Scribed by N.B. Backhouse

Publisher
Elsevier Science
Year
1982
Tongue
English
Weight
176 KB
Volume
114
Category
Article
ISSN
0378-4371

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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'