Simple graduated Lie algebras of finite growth
โ Scribed by V. G. Kats
- Publisher
- Springer US
- Year
- 1968
- Tongue
- English
- Weight
- 125 KB
- Volume
- 1
- Category
- Article
- ISSN
- 0016-2663
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๐ SIMILAR VOLUMES
We study the exponential growth of the codimensions c L of a finite-dimenn sional Lie algebra L over a field of characteristic zero. We show that if the n solvable radical of L is nilpotent then lim c L exists and is an integer.
We consider the known finite-dimensional simple Lie algebras of characteristic \(p>3\) and determine all finite-dimensional simple Lie algebras over an algebraically closed field of characteristic \(p>7\) admitting a nonsingular derivation. We also show that the \(\left.\mathbb{Z} \wedge p^{n}-1\rig
Let K be a field, let A be an associative, commutative K-algebra, and let โฌ be a nonzero K-vector space of commuting K-derivations of A. Then, with a rather natural definition, A m โฌ s Aโฌ becomes a Lie algebra and we obtain necessary K and sufficient conditions here for this Lie algebra to be simple