Research Group:
Speaker:
Nicola Ciccoli
Institution:
Università degli studi di Perugia
Schedule:
Wednesday, May 17, 2017 - 12:00
Location:
A-136
Abstract:
The quantum duality principle states that a quantized universal enveloping algebra associated to a Lie algebra $\mathfrak g$ can be regarded as quantization of a suitable dual group $G^*$, which can be determined by a Poisson geometric construction. We will describe the extension of such principle to subgroups and homogeneous spaces. This is possible whenever the homogeneous space is of quotient type, i.e. a quotient by a coisotropic subgroup. Some examples will be explicitely described.