Let K denote a field, and let V denote a vector space over K with finite positive dimension.
We consider a pair of linear transformations A: V→ V and A*: V→ V satisfying both …

Let K denote a field and let V denote a vector space over K with finite positive dimension. We
consider an ordered pair of linear transformations A: V→ V and A*: V→ V which satisfy the …

An Algebraic Approach to the Askey Scheme of Orthogonal Polynomials Page 1 An Algebraic
Approach to the Askey Scheme of Orthogonal Polynomials Paul Terwilliger Department of …

Let K denote a field, and let V denote a vector space over K with finite positive dimension.
We consider a pair of linear transformations A: V→ V and A*: V→ V that satisfy the following …

Let\mathbb K denote an algebraically closed field and let q denote a nonzero scalar
in\mathbb K that is not a root of unity. Let V denote a vector space over\mathbb K with finite …

In 2023 we obtained a Q-polynomial structure for the projective geometry LN (q). In the
present paper, we display a more general Q-polynomial structure for LN (q). Our new Q …

A new hidden symmetry is exhibited in the reflection equation and related quantum
integrable models. It is generated by a dual pair of operators {A, A∗}∈ A subject to q …

Distance-regular graphs, the subconstituent algebra, and the Q-polynomial property Page 447
11 Distance-Regular Graphs, the Subconstituent Algebra, and the Q -Polynomial Property Paul …

We show that the quantum algebra Uq (sl2) has a presentation with generators x±1, y, z and
relations xx− 1= x− 1x= 1, We call this the equitable presentation. We show that y …

Around 2001 we classified the Leonard systems up to isomorphism. The proof was lengthy
and involved considerable computation. In this paper we give a proof that is shorter and …