Contact and Frobenius solvable Lie algebras with abelian nilradical Article uri icon

abstract

  • The aim of this work is to characterize the families of Frobenius (respectively, contact) solvable Lie algebras that satisfies the following condition: %26#x01d524; = %26#x01d525;⋉V, where %26#x01d525;⊂%26#x01d524;%26#x01d529;(V), |dim V−dim %26#x01d524;|≤1 and NilRad(%26#x01d524;) = V, V being a finite dimensional vector space. In particular, it is proved that every complex Frobenius solvable Lie algebra is decomposable, whereas that in the real case there are only two indecomposable Frobenius solvable Lie algebras. © 2018, © 2018 Taylor %26 Francis.
  • The aim of this work is to characterize the families of Frobenius (respectively, contact) solvable Lie algebras that satisfies the following condition: 𝔤 = 𝔥⋉V, where 𝔥⊂𝔤𝔩(V), |dim V−dim 𝔤|≤1 and NilRad(𝔤) = V, V being a finite dimensional vector space. In particular, it is proved that every complex Frobenius solvable Lie algebra is decomposable, whereas that in the real case there are only two indecomposable Frobenius solvable Lie algebras. © 2018, © 2018 Taylor & Francis.

publication date

  • 2018-01-01