230 citations · 391 across the 17 of their papers we have counts for
4 papers · 1 filter
Description of infinite dimensional abelian regular Lie groups
Peter W. Michor, Josef Teichmann
It is shown that every abelian regular Lie group is a quotient of its Lie algebra via the exponential mapping.
Poisson structures on double Lie groups
D. Alekseevsky, J. Grabowski, G. Marmo +1
Lie bialgebra structures are reviewed and investigated in terms of the double Lie algebra, of Manin- and Gauß-decompositions. The standard R-matrix in a Manin decomposition then gi…
Choosing roots of polynomials smoothly
Dmitri Alekseevsky, Andreas Kriegl, Mark Losik +1
We clarify the question whether for a smooth curve of polynomials one can choose the roots smoothly and related questions. Applications to perturbation theory of operators are give…
Regular infinite dimensional Lie groups
Andreas Kriegl, Peter W. Michor
Regular Lie groups are infinite dimensional Lie groups with the property that smooth curves in the Lie algebra integrate to smooth curves in the group in a smooth way (an `evolutio…