𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Lie algebras associated with triangular configurations

✍ Scribed by Luis M. Fernández; Laura Martín-Martínez

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
473 KB
Volume
407
Category
Article
ISSN
0024-3795

No coin nor oath required. For personal study only.

✦ Synopsis

A new class of Lie algebras of finite dimension, those which are associated with a certain combinatorial configuration made up by triangles of weighted and non-directed edges, is introduced and a characterization theorem for them is proved. Moreover, some subclasses of such Lie algebras are classified.

📜 SIMILAR VOLUMES

Characterizations of Lie derivations of
Characterizations of Lie derivations of triangular algebras
✍ Peisheng Ji; Weiqing Qi 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 219 KB

Let T be a triangular algebra over a commutative ring R. In this paper, under some mild conditions on T , we prove that if for any x, y ∈ T with xy = 0 (resp. xy = p, where p is the standard idempotent of T ), then δ = d + τ , where d is a derivation of T and τ : T -→ Z(T ) (where Z(T ) is the cent

A new Lie algebra along with its induced
A new Lie algebra along with its induced Lie algebra and associated with applications
✍ Binlu Feng; Jiaqi Liu 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 218 KB

A 3 Â 3 Lie algebra H is introduced whose induced Lie algebra by decomposition and linear combinations is obtained, which may reduce to the Lie algebra given by AP Fordy and J Gibbons. By employing the induced Lie algebra and the zero curvature equation, a kind of enlarged Boussinesq soliton hierarc

On Lie-Admissible Algebras Whose Commuta
On Lie-Admissible Algebras Whose Commutator Lie Algebras Are Lie Subalgebras of Prime Associative Algebras
✍ K.I. Beidar; M.A. Chebotar 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 210 KB

We describe third power associative multiplications ) on noncentral Lie ideals of prime algebras and skew elements of prime algebras with involution provided w x that x ) y y y ) x s x, y for all x, y and the prime algebras in question do not satisfy polynomial identities of low degree. We also obta