A note on Lie product preserving maps onMn(ℝ)
Copyright policy ) Janko Marovt;
A note on Lie product preserving maps onMn(ℝ)
AbstractLetϕbe an injective, continuous, Lie product preserving map onMn(ℝ),n> 3. In the paper we show that then there exist an invertible matrixT∈Mn(ℝ) and a continuous functionψ:Mn(ℝ)→ ℝ, whereψ(A) = 0 for all matrices of trace zero, such that eitherϕ(A) =TAT−1+ψ(A)Ifor allA∈Mn(ℝ), orϕ(A) = −TAtT−1+ψ(A)Ifor allA∈Mn(ℝ). We determine that a similar proposition holds true for the setMn(ℂ),n> 3.
- University of Maribor Slovenia
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).2 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
selected citations
Citations provided by BIP!
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
Citations provided by BIP!popularityPopularity provided by BIP!
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
Popularity provided by BIP! 2
Average
Average
Average
Fields of Science
This action will publish the selected files and record in Zenodo. Are you sure you want to proceed?