Infinite Dimensional Algebra Seminar

Friday, December 08, 2017 at 3:00pm to 5:00pm

2-361

Zhengwei Liu (Harvard)

A new one-parameter centralizer algebra and higher Dynkin diagrams
We introduce a new one-parameter centralizer algebra as a Fourier cousin of the Birman-Wenzl-Murakami algebra and prove unitarity at roots of unity. We find a new type of Schur-Weyl duality between this centralizer algebra and two families of quantum subgroups. We construct its irreducible representations and compute their quantum dimensions in a closed form. Its Bratteli diagram gives two families of Dynkin diagrams for Ocneanu's higher representation theory.

Event Type

Conferences/Seminars/Lectures

Events By Interest

Academic

Events By Audience

Public

Tags

harmonjo, midas_sem

Website

https://math.mit.edu/seminars/infdim/

Department
Department of Mathematics
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