Department of Mathematics

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.



Department of Mathematics
Michigan State University
619 Red Cedar Road
C212 Wells Hall
East Lansing, MI 48824

Phone: (517) 353-0844
Fax: (517) 432-1562

College of Natural Science