1998/01/07 by Dmitri V. Alekseevsky, D. Alekseevsky, Janusz Grabowski +4
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #math.DG #msc:22E30 #msc:58F05 #msc:70H99
paper · pdf · doi:10.1016/s0393-0440(97)00063-6
published as J. Geom. Physics, 26 (1998), 340-379 · AmSTeX, 37 pages
arxiv created 1998/01/07 · openalex publication_date 1998/07/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.