#  Zhengwei Liu Seminar at MIT 

 





December 08, 2017

 

 

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   ![Zhengwei Liu](/sites/g/files/omnuum6611/files/styles/hwp_1_1__720x720_scale/public/mathpicture/files/zhengwei_youngs_lattice_0.jpeg?itok=1aQZ_166) 

 

 Zhengwei Liu gave a talk on "A new one-parameter centralizer algebra and higher Dynkin diagrams" at the MIT Mathematics Department on Friday, December 8 at 3:00 in [2-361](http://whereis.mit.edu/?mapterms=2&mapsearch=go) as part of the [MIT Infinite Dimensional Algebra seminar series](https://math.mit.edu/seminars/infdim/). Click the photo above to view more pictures from the seminar.

 Abstract:

 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.



 

 

 



 

 

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