Lie Groups in Quasi-Poisson Geometry and Braided Hopf Algebras
Pavol ŠeveraSection of Mathematics, University of Geneva, Switzerland
Fridrich ValachSection of Mathematics, University of Geneva, Switzerland
We extend the notion of Poisson-Lie groups and Lie bialgebras from Poisson to -quasi-Poisson geometry and provide a quantization to braided Hopf algebras in the corresponding Drinfeld category. The basic examples of these -quasi-Poisson Lie groups are nilpotent radicals of parabolic subgroups. We also provide examples of moment maps in this new context coming from moduli spaces of flat connections on surfaces.
Cite this article
Pavol Ševera, Fridrich Valach, Lie Groups in Quasi-Poisson Geometry and Braided Hopf Algebras. Doc. Math. 22 (2017), pp. 953–972DOI 10.4171/DM/583