Speaker
Prof.
Paul Terwilliger
(U. Wisconsin Madison)
Description
For a $Q$-polynomial distance-regular graph of $q$-Racah type,
the adjacency matrix $A$ and dual adjacency matrix $A^*$ satisfy
the $q$-Dolan/Grady relations. These are the defining relations
for the $q$-Onsager algebra. In this talk we describe how
the $q$-Onsager algebra is related to the positive part of the quantum algebra $U_q(\mathfrak{\widehat sl}_2)$.
Primary author
Prof.
Paul Terwilliger
(U. Wisconsin Madison)