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)
✦ LIBER ✦
Quantum superalgebra osp(2∥1)
✍ Scribed by P. P. Kulish
- Publisher
- Springer US
- Year
- 1991
- Tongue
- English
- Weight
- 502 KB
- Volume
- 54
- Category
- Article
- ISSN
- 1573-8795
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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'