Event
Zajj Daugherty, City College of New York
Tuesday, April 11, 2017 15:30to16:30
Room 4336, Pavillon André-Aisenstadt, 2920, Chemin de la tour, 5th floor, Montreal, QC, H3T 1J4, CA
Representation theory and combinatorics of two-boundary Temperley-Lieb algebras.
Work of de Gier and Nichols explored the two-boundary Temperley-Lieb algebra as a natural generalization of the classical Temperley-Lieb algebra from a statistical mechanics perspective. They present the two-boundary Temperley-Lieb algebra both as a diagram algebra and as a quotient of the affine Hecke algebra of type C. In work with A. Ram, we have presented the affine Hecke algebra of type C as a centralizer algebra and as a quotient of the two-poled braid group. This work provides new tools for studying the two boundary Temperley-Lieb algebra, yielding beautiful combinatorial representation theoretic results.