16 citations · 18 across the 2 of their papers we have counts for
2 papers
math.QA2012★ 2 cited
Augmented down-up algebras and uniform posets
Paul Terwilliger, Chalermpong Worawannotai
Motivated by the structure of the uniform posets we introduce the notion of an augmented down-up (or ADU) algebra. We discuss how ADU algebras are related to the down-up algebras d…
math.CO2012★ 16 cited
Dual polar graphs, the quantum algebra U_q(sl_2), and Leonard systems of dual q-Krawtchouk type
Chalermpong Worawannotai
In this paper we consider how the following three objects are related: (i) the dual polar graphs; (ii) the quantum algebra U_q(sl_2); (iii) the Leonard systems of dual q-Krawtchouk…