3 papers
math.CO2026
The Terwilliger algebra for the distance-regular graphs with valency three
Kevin Kauflin, Paul Terwilliger, Barnabás Valkó +2
In this paper, we discuss a family of highly regular graphs, said to be distance-regular. We are particularly interested in the distance-regular graphs with valency three. It is kn…
math.CO2025
Spin Leonard pairs and the zero diagonal space
Kazumasa Nomura, Paul Terwilliger
We consider a Leonard pair of linear maps on a vector space that has finite positive dimension. This Leonard pair is said to have spin whenever there exist inv…
math.CO2025
The Lie algebra and the hypercubes
William J. Martin, Paul Terwilliger
We describe a relationship between the Lie algebra and the hypercube graphs. Consider the -algebra of polynomials in four commuting vari…