Essentially Finitely Generated Lie Algebras
โ Scribed by Falih A.M. Aldosray
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 126 KB
- Volume
- 188
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We consider the following problem: what is the most general Lie algebra or superalgebra satisfying a given set of Lie polynomial equations? The presentation of Lie (super)algebras by a finite set of generators and defining relations is one of the most general mathematical and algorithmic schemes of
We study Lie algebras generated by extremal elements (i.e., elements spanning inner ideals) over a field of characteristic distinct from 2. There is an associative bilinear form on such a Lie algebra; we study its connections with the Killing form. Any Lie algebra generated by a finite number of ext
Let A be a PI-algebra over a field F. We study the asymptotic behavior of the sequence of codimensions c n (A) of A. We show that if A is finitely generated over F then Inv(A)=lim n ร n c n (A) always exists and is an integer. We also obtain the following characterization of simple algebras: A is fi