On a Construction Connecting Lie Algebras with General Algebras
نویسنده
چکیده
In this paper we introduce a general construction which as~ sociate~ an algebra A(e,b)with every pair (e,b~ where e is a Lie algebra and b is an invariant symmetric bilinear form on e. By virtue of this construction several well-known (as sociative and non-associative)algebras can be dealt with un der a unified view. We give characterizations of ,those pairs (e,b)which generate associative algebras A(e,b) and of those algebra~ which can be represented in the form A(t,b).
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