The Lie algebra of skew-symmetric elements and its application in the theory of Jordan algebras |
| |
Authors: | S R Sverchkov |
| |
Institution: | 1.Novosibirsk State University,Novosibirsk,Russia |
| |
Abstract: | We prove that the Lie algebra of skew-symmetric elements of the free associative algebra of rank 2 with respect to the standard
involution is generated as a module by the elements a, b] and a, b]3, where a and b are Jordan polynomials. Using this result we prove that the Lie algebra of Jordan derivations of the free Jordan algebra
of rank 2 is generated as a characteristic F-module by two derivations. We show that the Jordan commutator s-identities follow from the Glennie-Shestakov s-identity. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|