2 citations · 4 across the 4 of their papers we have counts for
4 papers
The -Symmetric Down-Up algebra
Paul Terwilliger
In 1998, Georgia Benkart and Tom Roby introduced the down-up algebra . The algebra is associative, noncommutative, and infinite-dimensional. It is defined…
The algebra in disguise
Sarah Bockting-Conrad, Paul Terwilliger
We discuss a connection between the algebra and the tridiagonal pairs of -Racah type. To describe the connection, let denote the equitab…
On the shape of a tridiagonal pair
Kazumasa Nomura, Paul Terwilliger
Let denote a field and let denote a vector space over with finite positive dimension. We consider a pair of linear transformations and that sa…
The Terwilliger algebra of an almost-bipartite P- and Q-polynomial association scheme
John S. Caughman, Mark S. MacLean, Paul M. Terwilliger
Let denote a -class symmetric association scheme with , and suppose is almost-bipartite P- and Q-polynomial. Let denote a vertex of and let de…