(Lie) Groups are typically seen as encoding a symmetry structure. For some phase spaces, the symmetry structure might need to be equipped with a non-trivial Poisson structure, which must then be compatible with the group product (to have a well defined symmetry action). This defines the notion of Poisson Lie group. When quantizing the system, the Poisson Lie group becomes a quantum group. I will provide a compact introduction to these concepts having in mind as leading example, the 3d (quantum) gravity framework, where such Poisson Lie/quantum symmetries are key to understand the quantum theory.
De Jan Ambjorn
De Jan Ambjorn
De Jan Ambjorn
De Jan Ambjorn
De Robert de Mello Koch
De Robert de Mello Koch
De Sanjaye Ramgoolam
De Sanjaye Ramgoolam
De Sanjaye Ramgoolam
De Sanjaye Ramgoolam
De Razvan Gurau
De Razvan Gurau
De Razvan Gurau
De Razvan Gurau
De François David
De Albert Schwarz
De Claudio Dappiaggi
De Alexander Strohmaier
