Seminar series
Date
Fri, 19 Feb 2021
Time
14:00 -
15:00
Location
Virtual
Speaker
Xin Zhao
Organisation
University of Oxford
This is an elementary talk introducing the rational Cherednik algebra and its representations. Especially, we are interested in the case of complex reflection group. A tool called the Dunkl-Opdam subalgebra is used to decompose the standard modules into weight spaces and to construct the correspondence with the partitions of integers. If time allows, we might explore the concept of unitary representation and what condition a representation needs to satisfy to be qualified as one.