Finitely presented infinite-dimensional simple Lie algebras
โ Scribed by Ian Stewart
- Book ID
- 112500837
- Publisher
- Springer
- Year
- 1975
- Tongue
- English
- Weight
- 175 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0003-889X
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๐ SIMILAR VOLUMES
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.
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 construct here several classes of simple Lie algebras of characteristic ลฝ . 0 which include the Virasoro algebra without central charge and the graded Lie algebras of Cartan type. Our construction is motivated by our w x recent construction of simple locally Novikov algebras in 5 . Our simple Li