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UniversalR-matrix of the quantum superalgebra osp(2 | 1)

✍ Scribed by P. P. Kulish; N. Yu. Reshetikhin

Publisher
Springer
Year
1989
Tongue
English
Weight
232 KB
Volume
18
Category
Article
ISSN
0377-9017

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✦ Synopsis

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).

πŸ“œ SIMILAR VOLUMES

The Minimal Primitive Spectrum of the En
The Minimal Primitive Spectrum of the Enveloping Algebra of the Lie Superalgebra osp(1, 2l)
✍ Maria Gorelik; Emmanuel Lanzmann πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 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'