PIRSA:17050032

Positive Representations of Split Real Quantum Groups

(2017). Positive Representations of Split Real Quantum Groups . Perimeter Institute. https://pirsa.org/17050032

Positive Representations of Split Real Quantum Groups . Perimeter Institute, May. 01, 2017, https://pirsa.org/17050032 

          @misc{ pirsa_PIRSA:17050032,
            doi = {10.48660/17050032},
            url = {https://pirsa.org/17050032},
            author = {},
            keywords = {Mathematical physics},
            language = {en},
            title = {Positive Representations of Split Real Quantum Groups },
            publisher = {Perimeter Institute},
            year = {2017},
            month = {may},
            note = {PIRSA:17050032 see, \url{https://pirsa.org}}
          }
DOI 10.48660/17050032
Collection
Talk Type Scientific Series
Subject

Abstract

The notion of Positive Representations is a new research program devoted to the representation theory of split real quantum groups, initiated in a joint work with Igor Frenkel. It is a generalization of the special class of representations considered by J. Teschner for Uq(sl(2,R)) in Liouville theory, where it exhibits a strong parallel to the finite-dimensional representation theory of compact quantum groups, but at the same time also serves some new properties that are not available in the compact case. In this talk, I will survey the recent developments and describe some of its relations to other areas of mathematics.