3 papers
math.RA2011
On extensions of Lie algebras
Lev Simonian
In the note some construction of Lie algebras is introduced. It is proved that the construction has the same property as a well known wreath product of groups [1]: Any extension of…
math.RA2003
Structure Theory for One Class of Locally Finite Lie Algebras
L. A. Simonian
In this paper I consider locally finite Lie algebras of characteristic zero satisfying the condition that for every finite number of elements of such an a…
math.RA1999
The Embedding Theorem for a Mixed Verbal Wreath Product in Lie Algebras Representations
L. A. Simonian
The mixed verbal wreath product in representations of Lie algebras is a construction parallel to the verbal wreath product of Lie algebras introduced by A. L. Shmelkin. It is shown…