Lie groups in Quasi-Poisson geometry and braided Hopf algebras

Pavol Ševera, Fridrich Valach

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Pages (from-to)953-972
Number of pages20
JournalDocumenta Mathematica
Issue number2017
Publication statusPublished - 2017


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