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Can I read Twisted Cocycles of Lie Algebras and Corresponding Invariant Functions on EtoBox?
Twisted Cocycles of Lie Algebras and Corresponding Invariant Functions by Jiřı ́ Hrivnák; Petr Novotný is a Mathematics article available to read on EtoBox.
What is Twisted Cocycles of Lie Algebras and Corresponding Invariant Functions about?
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 spaces of cocycles allow us to define complex functions which are invariant under Lie isomorphisms. Such complex functions thus represent useful invariants -we show how they classify three and four-dimensional Lie algebras as well as how they apply to some eight-dimensional 1-parametric nilpotent continua of Lie algebras. These functions also provide necessary criteria for existence of 1-parametric continuous contraction.
Who reads Twisted Cocycles of Lie Algebras and Corresponding Invariant Functions?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Jiřı ́ Hrivnák; Petr Novotný
- Publisher
- Elsevier Science; Elsevier ; Elsevier BV (ISSN 0024-3795)
- Published
- 2009
- Language
- EN
- Field
- Mathematics (Physical Sciences)