The Center of a Simple P-Type Lie Superalgebra
β Scribed by Maria Gorelik
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 153 KB
- Volume
- 246
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
β¦ Synopsis
We describe the center of a simple Lie superalgebra of type P n . The description is based on the notion of anticenter.
π SIMILAR VOLUMES
We investigate the Lie structure of the Lie superalgebra K of skew elements of a unital simple associative superalgebra A with superinvolution over a field of characteristic not 2. It is proved that if A is more than 16-dimensional over its w x center Z, then any Lie ideal U of K satisfies either U
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
We classify all the pairs of a commutative associative algebra with an identity element and its finite-dimensional locally finite Abelian derivation subalgebra such that the commutative associative algebra is derivation-simple with respect to the derivation subalgebra over an algebraically closed fi