Some examples of locally finite simple Lie algebras
โ Scribed by Y. Bahturin; H. Strade
- Publisher
- Springer
- Year
- 1995
- Tongue
- English
- Weight
- 228 KB
- Volume
- 65
- Category
- Article
- ISSN
- 0003-889X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
If is a split Lie algebra, which means that is a Lie algebra with a root decomposition = + ฮฑโ ฮฑ , then the roots of can be classified into different types: a root ฮฑ โ is said to be of nilpotent type if all subalgebras x ฮฑ x -ฮฑ = span x ฮฑ x -ฮฑ x ฮฑ x -ฮฑ for x ยฑฮฑ โ ยฑฮฑ are nilpotent, and of simple type
Let L be a free Lie algebra over a field k, I a non-trivial proper ideal of L, n > 1 an integer. ## The multiplicator Hz(L/I",R) of L/I" is not finitely generated, and so in particular, L/Z" is not finitely presented, even when L/I is finite dimensional.