On the homotopy Lie algebra of a local ring
✍ Scribed by Clas Löfwall
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 541 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0022-4049
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📜 SIMILAR VOLUMES
If is a split Lie algebra, which means that is a Lie algebra with a root decomposition = + α∈ α , then the roots of can be classified into different types: a root α ∈ is said to be of nilpotent type if all subalgebras x α x -α = span x α x -α x α x -α for x ±α ∈ ±α are nilpotent, and of simple type
If ᒄ is a classical simple Lie superalgebra ᒄ / P n , the enveloping algebra Ž . Ž Ž .. U ᒄ is a prime ring and hence has a simple artinian ring of quotients Q U ᒄ by Ž Ž .. Goldie's Theorem. We show that if ᒄ has Type I then Q U ᒄ is a matrix ring Ž Ž .. Ž . over Q U ᒄ . On the other hand, if ᒄ s