Bibliographic Details
| Title: |
Derivations and dimensionally nilpotent derivations in Lie triple algebras |
| Authors: |
Dembega, Abdoulaye, Konkobo, Amidou, Ouattara, Moussa |
| Publication Year: |
2019 |
| Collection: |
Mathematics |
| Subject Terms: |
Mathematics - Rings and Algebras, Primary 17A30, secondary 17D92, 17B40, 17C10 |
| More Details: |
In this paper, we first study derivations in non nilpotent Lie triple algebras. We determine the structure of derivation algebra according to whether the algebra admits an idempotent or a pseudo-idempotent. We study the multiplicative structure of non nilpotent dimensionally nilpotent Lie triple algebras. We show that when $n=2p+1$ the adapted basis coincides with the canonical basis of the gametic algebra $G(2p+2,2)$ or this one obviously associated to a pseudo-idempotent and if $n=2p$ then the algebra is either one of the precedent case or a conservative Bernstein algebra.
Comment: 14 pages |
| Document Type: |
Working Paper |
| Access URL: |
http://arxiv.org/abs/1905.12328 |
| Accession Number: |
edsarx.1905.12328 |
| Database: |
arXiv |
