Abstract
We extend the notion of Poisson-Lie groups and Lie bialgebras from Poisson to g-quasi-Poisson geometry and provide a quantization to braided Hopf algebras in the corresponding Drinfeld category. The basic examples of these g-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.
Original language | English |
---|---|
Pages (from-to) | 953-972 |
Number of pages | 20 |
Journal | Documenta Mathematica |
Volume | 22 |
Issue number | 2017 |
Publication status | Published - 2017 |