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Poisson structures on double Lie groups

Authors
Journal
Journal of Geometry and Physics
0393-0440
Publisher
Elsevier
Publication Date
Volume
26
Identifiers
DOI: 10.1016/s0393-0440(97)00063-6
Keywords
  • Poisson Structures
  • Double Lie Groups
  • Lie Bialgebras
  • Manin Decomposition
  • Gauss Decomposition
  • R-Matrices
Disciplines
  • Mathematics

Abstract

Abstract 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 gives rise to several Poisson structures on the correponding double group, which is investigated in great detail.

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