Paul Terwilliger

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Leonard pairs, spin models, and distance-regular graphs

Kazumasa Nomura, Paul M. Terwilliger, Paul Terwilliger, 2019, J. Comb. Theory, Ser. A.

The algebra $U^+_q$ and its alternating central extension $\mathcal U^+_q$

Paul M. Terwilliger, Paul Terwilliger, 2021, 2106.14884.

Compatibility and companions for Leonard pairs

Kazumasa Nomura, Paul M. Terwilliger, Paul Terwilliger, 2021, The Electronic Journal of Linear Algebra.

Double Lowering Operators on Polynomials

Paul M. Terwilliger, Paul Terwilliger, 2020, 2003.09666.

Twisting finite-dimensional modules for the q-Onsager algebra $${\mathcal {O}}_q$$ O q via the Lusztig automorphism

Paul M. Terwilliger, Paul Terwilliger, 2020, The Ramanujan Journal.

The q-Onsager algebra and its alternating central extension

Paul Terwilliger, 2022, Nuclear Physics B.

Using Catalan words and a $q$-shuffle algebra to describe the Beck PBW basis for the positive part of $U_q(\widehat{\mathfrak{sl}}_2)$

Paul M. Terwilliger, Paul Terwilliger, 2021, 2108.12708.

The Norton algebra of a Q-polynomial distance-regular graph

Paul M. Terwilliger, Paul Terwilliger, 2020, J. Comb. Theory, Ser. A.

Notes on the Leonard System Classification

Paul M. Terwilliger, Paul Terwilliger, 2020, Graphs and Combinatorics.

Using a $q$-shuffle algebra to describe the basic module $V(\Lambda_0)$ for the quantized enveloping algebra $U_q(\widehat{\mathfrak{sl}}_2)$

Paul M. Terwilliger, Paul Terwilliger, 2021, 2112.06085.

The Alternating Central Extension of the q-Onsager Algebra

Paul M. Terwilliger, Paul Terwilliger, 2021, Communications in Mathematical Physics.

The alternating central extension of the Onsager Lie algebra

Paul M. Terwilliger, Paul Terwilliger, 2021, Communications in Algebra.

A conjecture concerning the q-Onsager algebra

Paul Terwilliger, 2021 .

Tight Distance-Regular Graphs

Aleksandar Jurišić, Jack Koolen, Paul Terwilliger, 2000 .

The Subconstituent Algebra of an Association Scheme (Part II)

Paul M. Terwilliger, Paul Terwilliger, 1993 .

The subconstituent algebra of a distance-regular graph; thin modules with endpoint one

Paul M. Terwilliger, Paul Terwilliger, 2002 .

Leonard Pairs from 24 Points of View

Paul M. Terwilliger, Paul Terwilliger, 2002, math/0406577.

A Note on Thin P-Polynomial and Dual-Thin Q-Polynomial Symmetric Association Schemes

Paul M. Terwilliger, Garth A. Dickie, Paul Terwilliger, 1998 .

Tridiagonal pairs of q-Racah type

Tatsuro Ito, Paul M. Terwilliger, Paul Terwilliger, 2008, 0807.0271.

An Inequality Involving the Local Eigenvalues of a Distance-Regular Graph

Paul Terwilliger, 2004 .

Introduction to Leonard pairs

Paul M. Terwilliger, Paul Terwilliger, 2003 .

The Shape of a Tridiagonal Pair

Tatsuro Ito, Paul Terwilliger, 2003 .

The A-like matrices for a hypercube

Paul M. Terwilliger, Stefko Miklavic, Paul Terwilliger, 2010, 1010.2606.

Two linear transformations each tridiagonal with respect to an eigenbasis of the other; the TD- D canonical form and the LB- UB canonical form

Paul M. Terwilliger, Paul Terwilliger, 2003, math/0304077.

Two relations that generalize the $q$-Serre relations and the Dolan-Grady relations

Paul Terwilliger, 2001 .

An introduction to Leonard pairs and Leonard systems (Algebraic Combinatorics)

Paul Terwilliger, 1999 .

Tridiagonal pairs and the quantum affine algebra Uq(sl2) (代数的組合せ論)

Paul M. Terwilliger, Paul Terwilliger, 伊藤達郎, 2005 .

LEONARD PAIRS AND THE ASKEY-WILSON RELATIONS

Raimundas Vidunas, Paul Terwilliger, 2003 .

The Subconstituent Algebra of an Association Scheme (Part III)

Paul M. Terwilliger, Paul Terwilliger, 1993 .

Two linear transformations each tridiagonal with respect to an eigenbasis of the other: comments on the split decomposition

Paul Terwilliger, 2003 .

An Algebraic Approach to the Askey Scheme of Orthogonal Polynomials

Paul M. Terwilliger, Paul Terwilliger, 2006 .

The Drinfel'd polynomial of a tridiagonal pair

Tatsuro Ito, Paul M. Terwilliger, Paul Terwilliger, 2008, 0805.1465.

The q-Tetrahedron Algebra and Its Finite Dimensional Irreducible Modules

Tatsuro Ito, Paul Terwilliger, 2006 .

Leonard pairs and the q-Racah polynomials

Paul Terwilliger, 2003 .

The Incidence Algebra of a Uniform Poset

Paul M. Terwilliger, Paul Terwilliger, 1990 .