most citedDual polar graphs, the quantum algebra U_q(sl_2), and Leonard systems of dual q-Krawtchouk type

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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…