Finitary Lie algebras
نویسنده
چکیده
An algebra is called finitary if it consists of finite-rank transformations of a vector space. We classify finitary simple and finitary irreducible Lie algebras over an algebraically closed field of characteristic 6= 2, 3.
منابع مشابه
Locally semisimple and maximal subalgebras of the finitary Lie algebras gl ( ∞ ) , sl ( ∞ ) , so ( ∞ ) , and sp ( ∞ )
We describe all locally semisimple subalgebras and all maximal subalgebras of the finitary Lie algebras gl(∞), sl(∞), so(∞), and sp(∞). For simple finite–dimensional Lie algebras these classes of subalgebras have been described in the classical works of A. Malcev and E. Dynkin.
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