If α is a classical simple Lie superalgebra α / P n , the enveloping algebra Ε½ . Ε½ Ε½ .. U α is a prime ring and hence has a simple artinian ring of quotients Q U α by Ε½ Ε½ .. Goldie's Theorem. We show that if α has Type I then Q U α is a matrix ring Ε½ Ε½ .. Ε½ . over Q U α . On the other hand, if α s
On the Center of the Enveloping Algebra of a Classical Simple Lie Superalgebra
β Scribed by Ian M. Musson
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 376 KB
- Volume
- 193
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
We describe the center of a simple Lie superalgebra of type P n . The description is based on the notion of anticenter.
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