On the inverse limit of finite dimensional lie algebras
published by Damascus University
in 2006
in Mathematics
and research's language is
العربية
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Abstract in English
We extend the well Known Levi-Malcev decomposition theorem of finite
dimensional Lie algebras to the case of pro-finite dimensional Lie algebras
L = limLn (n ∈ N). We also prove that every finite dimensional
homomorphic image of the Cartesian product of finite dimensional nilpotent
Lie algebras is also nilpotent.
References used
Bourbaki, N. (1989.), "Lie Groups and Lie Algebras", Springer-Verlag
Hochschild, G. (1981), "Basic theory of algebraic groups and Lie algebras". Graduate Texts in Math. 75, Springer-Verlag
Humphreys, J. E. (1972), "Introduction to Lie algebras and representation theory". Second printing, Springer-Verlag