<Reference List> | |
Type: | Preprint |
National /International: | International |
Title: | On a ternary generalization of Jordan algebras |
Publication Date: | 2017-10-23 |
Authors: |
- Ivan Kaygorodov
- Alexander P. Pozhidaev - Paulo Saraiva |
Abstract: | Based on the relation between the notions of Lie triple system and Jordan algebra, we introduce n-ary Jordan algebras, an n-ary generalization of Jordan algebras obtained via the generalization of the following property [Rx,Ry] ∈ Der(A), where A is an n-ary algebra. Next, we study such ternary algebras. Finally, based on the construction of a family of ternary algebras defined by means of the Cayley-Dickson algebras, we present a ternary Dx,y-derivation algebra (n-ary Dx,y-derivation algebras are non-commutative version of n-ary Jordan algebras). |
Institution: | DMUC 17-42 |
Online version: | http://www.mat.uc.pt...prints/eng_2017.html |
Download: | Not available |