Classification of Lie-like and other translation-invariant function algebras

Twisted cocycles of lie algebras and cor

Twisted cocycles of lie algebras and corresponding invariant functions

✍ Jiřı´ Hrivnák; Petr Novotný 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 251 KB

We consider finite-dimensional complex Lie algebras. Using certain complex parameters we generalize the concept of cohomology cocycles of Lie algebras. A special case is generalization of 1-cocycles with respect to the adjoint representation -so called (α, β, γ )-derivations. Parametric sets of spac