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19932024
most citedPoisson structures on the cotangent bundle of a Lie group or a principal bundle and their reductions

35 citations · 72 across the 6 of their papers we have counts for

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Showing 1998Show all

2 papers · 1 filter

math.DG1998★ 34 cited

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…

math.CA1998

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…