1 citations · 2 across the 6 of their papers we have counts for
8 papers
Invariants of the coadjoint representation of Lie algebras in dimension n\leq 8
Rutwig Campoamor-Stursberg
We describe the invariants for the coadjoint representation of all real Lie algebras with nontrivial Levi decomposition up to dimension eight.
Symplectic forms on six dimensional real solvable Lie algebras I
R. Campoamor-Stursberg
We analyze symplectic forms on six dimensional real solvable and non-nilpotent Lie algebras. More precisely, we obtain all those algebras endowed with a symplectic form that decomp…
Solvable Lie algebras, products by generators and some of its applications
R. Campoamor-Stursberg
In this work we generalize the concept of product by generators to the class of solvable Lie algebras. We analyze the number of invariants by the coadjoint representation by means…
Invariant Tensors Formulae via Chord Diagrams
R. Campoamor-Stursberg, V. O. Manturov
We provide an explicit algorithm to calculate invariant tensors for the adjoint representation of the simple Lie algebra , as well as arbitrary representation in terms of ro…
Towards a characterization of exact symplectic Lie algebras in terms of the invariants for the coadjoint representation
Rutwig Campoamor-Stursberg
We prove that for any known Lie algebra having none invariants for the coadjoint representation, the absence of invariants is equivalent to the existence of a left invar…
Generalized Casimir invariants of six dimensional solvable real Lie algebras with five dimensional nilradical
Rutwig Campoamor-Stursberg
We finish the determination of the invariants of the coadjoint representation of six dimensional real Lie algebras, by determining a fundamental set of invariants for the 99 isomor…