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Metabelian Lie and perm algebras by Mashurov, F. A.; Sartayev, B. K. is a scholarly article available to read on EtoBox.

What is Metabelian Lie and perm algebras about?

It is well known that any Lie algebra can be embedded into an associative algebra. We prove that any metabelian Lie algebra can be embedded into an algebra in the subvariety of perm algebras, i.e., associative algebras with the identity $abc-acb =0$. In addition, a technical method to construct the universal enveloping perm algebra for a metabelian Lie algebra is given.

Author

Mashurov, F. A.; Sartayev, B. K.

Published

2021

Language

EN