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Quantum duality principle for homogeneous spaces

Prof.
Nicola Ciccoli
Institution: 
Università degli studi di Perugia
Location: 
A-136
Schedule: 
Wednesday, May 17, 2017 - 12:00
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.

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