## Seminar in Cluster algebras

•  Alexander Shapiro, The University of Edinburgh
•  Positive Peter-Weyl theorem
•  02/14/2019
•  3:00 PM - 4:00 PM
•  C204A Wells Hall

The classical Peter-Weyl theorem asserts that the regular representation of a compact Lie group $G$ on the space of square-integrable functions $L^2(G)$ decomposes as the direct sum of all irreducible unitary representations of $G$. In the talk, I will use positive representations of cluster varieties, to obtain a "non-compact" quantum analogue of the Peter-Weyl theorem. This is joint work with Ivan Ip and Gus Schrader.

## Contact

Department of Mathematics
Michigan State University