English

Solvable Lie algebras with triangular nilradicals

Rings and Algebras 2013-07-10 v1 Mathematical Physics math.MP

Abstract

All finite-dimensional indecomposable solvable Lie algebras L(n,f)L(n,f), having the triangular algebra T(n) as their nilradical, are constructed. The number of nonnilpotent elements ff in L(n,f)L(n,f) satisfies 1fn11\leq f\leq n-1 and the dimension of the Lie algebra is dimL(n,f)=f+1/2n(n1)\dim L(n,f)=f+{1/2}n(n-1).

Keywords

Cite

@article{arxiv.0709.3581,
  title  = {Solvable Lie algebras with triangular nilradicals},
  author = {Sébastien Tremblay and Pavel Winternitz},
  journal= {arXiv preprint arXiv:0709.3581},
  year   = {2013}
}
R2 v1 2026-06-21T09:20:32.924Z