| Publication | Date of Publication | Type |
|---|
| A \(Q\)-polynomial structure for the attenuated space poset \(\mathcal{A}_q (N, M)\) | 2024-04-09 | Paper |
| Near-bipartite Leonard pairs | 2024-02-21 | Paper |
| Using a q-shuffle algebra to describe the basic module V(Λ_0) for the quantized enveloping algebra Uq(sl^2) | 2023-11-01 | Paper |
| Spin models and distance-regular graphs of $q$-Racah type | 2023-08-21 | Paper |
| A \(Q\)-polynomial structure associated with the projective geometry \(L_N (q)\) | 2023-07-12 | Paper |
| The compact presentation for the alternating central extension of the \(q\)-Onsager algebra | 2023-06-26 | Paper |
| The $\mathbb Z_3$-Symmetric Down-Up algebra | 2023-06-07 | Paper |
| Twisting finite-dimensional modules for the \(q\)-Onsager algebra \(\mathcal{O}_q\) via the Lusztig automorphism | 2023-05-31 | Paper |
| Circular bidiagonal pairs | 2023-05-15 | Paper |
| Tridiagonal pairs, alternating elements, and distance-regular graphs | 2023-03-06 | Paper |
| The alternating central extension of the Onsager Lie algebra | 2023-01-02 | Paper |
| Compatibility and companions for Leonard pairs | 2022-09-28 | Paper |
| A compact presentation for the alternating central extension of the positive part of Uq(sl^2) | 2022-07-15 | Paper |
| Tridiagonal pairs, alternating elements, and distance-regular graphs | 2022-07-15 | Paper |
| Distance-regular graphs, the subconstituent algebra, and the $Q$-polynomial property | 2022-07-15 | Paper |
| Using Catalan words and a \(q\)-shuffle algebra to describe the Beck PBW basis for the positive part of \(U_q( \widehat{\mathfrak{sl}}_2)\) | 2022-05-16 | Paper |
| The \(q\)-Onsager algebra and its alternating central extension | 2022-02-14 | Paper |
| Notes on the Leonard system classification | 2021-11-25 | Paper |
| The alternating central extension of the \(q\)-Onsager algebra | 2021-11-11 | Paper |
| A conjecture concerning the \(q\)-Onsager algebra | 2021-10-06 | Paper |
| Idempotent systems and character algebras | 2021-09-16 | Paper |
| Using Catalan words and a $q$-shuffle algebra to describe the Beck PBW basis for the positive part of $U_q(\widehat{\mathfrak{sl}}_2)$ | 2021-08-28 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5003344 | 2021-07-21 | Paper |
| The Norton algebra of a \(Q\)-polynomial distance-regular graph | 2021-06-30 | Paper |
| The algebra $U^+_q$ and its alternating central extension $\mathcal U^+_q$ | 2021-06-26 | Paper |
| Idempotent systems | 2021-06-10 | Paper |
| Double lowering operators on polynomials | 2021-05-03 | Paper |
| Tridiagonal pairs of \(q\)-Racah-type and the \(q\)-tetrahedron algebra | 2021-04-29 | Paper |
| Leonard pairs, spin models, and distance-regular graphs | 2020-10-07 | Paper |
| Connectivity concerning the last two subconstituents of a \(Q\)-polynomial distance-regular graph | 2020-10-07 | Paper |
| The alternating central extension for the positive part of \(U_q(\hat{\mathfrak{sl}}_2)\) | 2020-06-09 | Paper |
| An infinite-dimensional \(\square_q\)-module obtained from the \(q\)-shuffle algebra for affine \(\mathfrak{sl}_2\) | 2020-05-05 | Paper |
| Self-dual Leonard pairs | 2020-02-26 | Paper |
| The alternating PBW basis for the positive part of Uq(sl^2) | 2019-08-08 | Paper |
| The quantum adjacency algebra and subconstituent algebra of a graph | 2019-06-28 | Paper |
| Using Catalan words and a \(q\)-shuffle algebra to describe a PBW basis for the positive part of \(U_q(\widehat{\mathfrak{sl}}_2)\) | 2019-03-11 | Paper |
| An action of the free product \(\mathbb{Z}_2 \star \mathbb{Z}_2 \star \mathbb{Z}_2\) on the \(q\)-Onsager algebra and its current algebra | 2018-11-05 | Paper |
| A poset \(\Phi_{n}\) whose maximal chains are in bijection with the \(n\times n\) alternating sign matrices | 2018-08-01 | Paper |
| Tridiagonal pairs of q-Racah type, the Bockting operator ψ, and L-operators for U_q(L(sl_2)) | 2018-07-18 | Paper |
| The Lusztig automorphism of the \(q\)-Onsager algebra | 2018-06-26 | Paper |
| The \(q\)-Onsager algebra and the universal Askey-Wilson algebra | 2018-05-17 | Paper |
| The Lusztig automorphism of Uq(𝔰𝔩2) from the equitable point of view | 2017-11-27 | Paper |
| Totally bipartite tridiagonal pairs | 2017-11-01 | Paper |
| The universal DAHA of type \((C_1^\vee, C_1)\) and Leonard pairs of \(q\)-Racah type | 2017-09-21 | Paper |
| The \(q\)-Onsager algebra and the positive part of \(U_q(\hat{\mathfrak{sl}}_2)\) | 2017-03-03 | Paper |
| Leonard triples of \(q\)-Racah type and their pseudo intertwiners | 2016-12-29 | Paper |
| Leonard triples of $q$-Racah type | 2016-09-18 | Paper |
| Lowering-raising triples and \(U_q(\mathfrak{sl}_2)\) | 2015-09-28 | Paper |
| Billiard arrays and finite-dimensional irreducible \(U_q(\mathfrak{sl}_2)\)-modules | 2014-09-08 | Paper |
| The algebra \(U_q(\mathfrak{sl}_2)\) in disguise | 2014-08-26 | Paper |
| Evaluation modules for the \(q\)-tetrahedron algebra | 2014-06-03 | Paper |
| Distance-regular graphs of \(q\)-Racah type and the universal Askey-Wilson algebra | 2014-05-26 | Paper |
| Augmented down-up algebras and uniform posets | 2014-05-14 | Paper |
| The universal Askey-Wilson algebra and DAHA of type \((C_{1}^{\vee },C_{1})\) | 2014-04-29 | Paper |
| Finite-dimensional irreducible \(U_q(\mathfrak{sl}_2)\)-modules from the equitable point of view | 2014-02-19 | Paper |
| Bipartite \(Q\)-polynomial distance-regular graphs and uniform posets | 2013-09-09 | Paper |
| The Drinfel'd polynomial of a tridiagonal pair | 2013-08-01 | Paper |
| The Rahman polynomials and the Lie algebra $\mathfrak{sl}_{3}(\mathbb{C})$ | 2013-07-25 | Paper |
| The A-like matrices for a hypercube | 2012-10-25 | Paper |
| The universal Askey-Wilson algebra | 2012-06-26 | Paper |
| The universal Askey-Wilson algebra and the equitable presentation of \(U_{q}(sl_{2})\) | 2012-06-26 | Paper |
| Krawtchouk polynomials, the Lie algebra \(\mathfrak{sl}_2\), and Leonard pairs | 2012-05-14 | Paper |
| A classification of sharp tridiagonal pairs | 2011-07-15 | Paper |
| Mock tridiagonal systems | 2011-07-15 | Paper |
| The equitable basis for \({\mathfrak{sl}_2}\) | 2011-06-17 | Paper |
| Double affine Hecke algebras of rank 1 and the \(\mathbb Z_3\)-symmetric Askey-Wilson relations | 2011-06-17 | Paper |
| Tridiagonal matrices with nonnegative entries | 2011-04-11 | Paper |
| AN ALGEBRA GENERATED BY TWO SETS OF MUTUALLY ORTHOGONAL IDEMPOTENTS | 2011-01-19 | Paper |
| The \(Q\)-polynomial idempotents of a distance-regular graph | 2010-11-05 | Paper |
| HOW TO SHARPEN A TRIDIAGONAL PAIR | 2010-10-07 | Paper |
| Distance-regular graphs with light tails | 2010-09-10 | Paper |
| THE AUGMENTED TRIDIAGONAL ALGEBRA | 2010-07-30 | Paper |
| Tridiagonal pairs of \(q\)-Racah type and the \(\mu \)-conjecture | 2010-05-11 | Paper |
| On the shape of a tridiagonal pair | 2009-12-18 | Paper |
| Tridiagonal pairs of \(q\)-Racah type | 2009-09-10 | Paper |
| A characterization of Q-polynomial distance-regular graphs | 2009-08-27 | Paper |
| Transition maps between the 24 bases for a Leonard pair | 2009-07-02 | Paper |
| Distance-regular graphs of \(q\)-Racah type and the \(q\)-tetrahedron algebra | 2009-06-17 | Paper |
| Pseudo 1-homogeneous distance-regular graphs | 2009-05-04 | Paper |
| The $q$-Onsager algebra | 2009-04-20 | Paper |
| Distance-regular graphs and the \(q\)-tetrahedron algebra | 2009-04-08 | Paper |
| Finite-Dimensional Irreducible Modules for the Three-Point 2 Loop Algebra | 2009-01-20 | Paper |
| Tridiagonal pairs and the \(\mu \)-conjecture | 2008-12-02 | Paper |
| The structure of a tridiagonal pair | 2008-10-06 | Paper |
| Towards a classification of the tridiagonal pairs | 2008-06-17 | Paper |
| Sharp tridiagonal pairs | 2008-06-09 | Paper |
| Affine transformations of a Leonard pair | 2008-05-28 | Paper |
| The subconstituent algebra of a bipartite distance-regular graph; thin modules with endpoint two | 2008-02-11 | Paper |
| The switching element for a Leonard pair | 2008-02-06 | Paper |
| Theq-Tetrahedron Algebra and Its Finite Dimensional Irreducible Modules | 2007-12-17 | Paper |
| Tridiagonal pairs of Krawtchouk type | 2007-11-09 | Paper |
| \(p\)-inverting pairs of linear transformations and the \(q\)-tetrahedron algebra | 2007-09-14 | Paper |
| TWO NON-NILPOTENT LINEAR TRANSFORMATIONS THAT SATISFY THE CUBIC q-SERRE RELATIONS | 2007-08-10 | Paper |
| The split decomposition of a tridiagonal pair | 2007-06-26 | Paper |
| Tridiagonal pairs and the quantum affine algebra \(U_q(\widehat{\text{sl}}_2)\). | 2007-06-21 | Paper |
| The tetrahedron algebra, the Onsager algebra, and the \(\mathfrak{sl}_2\) loop algebra | 2007-04-18 | Paper |
| The universal central extension of the three-point $\mathfrak {sl}_2$ loop algebra | 2007-03-21 | Paper |
| The pseudo-cosine sequences of a distance-regular graph | 2007-02-14 | Paper |
| Balanced Leonard pairs | 2007-02-14 | Paper |
| Linear transformations that are tridiagonal with respect to both eigenbases of a Leonard pair | 2007-02-14 | Paper |
| Almost-bipartite distance-regular graphs with the \(Q\)-polynomial property | 2006-12-07 | Paper |
| Matrix units associated with the split basis of a Leonard pair | 2006-12-07 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5493480 | 2006-10-23 | Paper |
| Taut distance-regular graphs and the subconstituent algebra | 2006-09-13 | Paper |
| The determinant of \(AA^{*} - A^{*}A\) for a Leonard pair \(A,A^{*}\) | 2006-07-20 | Paper |
| The quantum algebra \(U_q(\mathfrak{sl}_2)\) and its equitable presentation | 2006-05-29 | Paper |
| The equitable presentation for the quantum group associated with a symmetrizable Kac-Moody algebra | 2006-05-29 | Paper |
| Some trace formulae involving the split sequences of a Leonard pair | 2006-03-16 | Paper |
| Two linear transformations each tridiagonal with respect to an eigenbasis of the other; the TD-D canonical form and the LB-UB canonical form | 2005-10-27 | Paper |
| The displacement and split decompositions for a \(Q\)-polynomial distance-regular graph | 2005-07-28 | Paper |
| The Terwilliger algebra of an almost-bipartite \(P\)- and \(Q\)-polynomial association scheme | 2005-04-28 | Paper |
| Two linear transformations each tridiagonal with respect to an eigenbasis of the other: comments on the split decomposition | 2005-04-18 | Paper |
| LEONARD PAIRS AND THE ASKEY–WILSON RELATIONS | 2005-03-30 | Paper |
| Two linear transformations each tridiagonal with respect to an eigenbasis of the other; comments on the parameter array | 2005-02-28 | Paper |
| An inequality for regular near polygons | 2005-02-23 | Paper |
| Irreducible modules for the quantum affine algebra \(U_{q}(\mathfrak {\widehat{sl}_2})\) and its Borel subalgebra | 2004-11-29 | Paper |
| Two linear transformations each tridiagonal with respect to an eigenbasis of the other; an algebraic approach to the Askey scheme of orthogonal polynomials | 2004-08-27 | Paper |
| An inequality involving the local eigenvalues of a distance-regular graph | 2004-08-06 | Paper |
| Leonard pairs and the \(q\)-Racah polynomials | 2004-08-04 | Paper |
| Distance-regular graphs, pseudo primitive idempotents, and the Terwilliger algebra. | 2004-03-14 | Paper |
| The shape of a tridiagonal pair. | 2004-03-14 | Paper |
| Leonard pairs from 24 points of view. | 2003-12-03 | Paper |
| Irreducible Modules for the Quantum Affine Algebra $U_q(\hat{sl}_2)$ and its Borel subalgebra $U_q(\hat{sl}_2)^{\geq 0}$ | 2003-11-10 | Paper |
| Two linear transformations each tridiagonal with respect to an eigenbasis of the other; an overview | 2003-07-04 | Paper |
| Introduction to Leonard pairs. | 2003-05-22 | Paper |
| Tight distance-regular graphs and the subconstituent algebra | 2003-03-18 | Paper |
| The subconstituent algebra of a distance-regular graph; thin modules with endpoint one | 2003-02-05 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2717204 | 2002-10-09 | Paper |
| Two linear transformations each tridiagonal with respect to an eigenbasis of the other | 2002-03-04 | Paper |
| Tight distance-regular graphs | 2001-04-20 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4762041 | 2001-02-21 | Paper |
| TWO RELATIONS THAT GENERALIZE THE Q-SERRE RELATIONS AND THE DOLAN-GRADY RELATIONS | 2001-01-01 | Paper |
| A note on thin \(P\)-polynomial and dual-thin \(Q\)-polynomial symmetric association schemes | 1998-10-15 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4892008 | 1997-01-28 | Paper |
| Dual bipartite Q-polynomial distance-regular graphs | 1996-12-16 | Paper |
| On Garsia-Remmel problem of rook equivalence | 1996-03-25 | Paper |
| Kite-free distance-regular graphs | 1996-01-07 | Paper |
| A new inequality for distance-regular graphs | 1995-06-08 | Paper |
| The subconstituent algebra of an association scheme. I | 1994-04-11 | Paper |
| \(P\)- and \(\mathcal Q\)-polynomial association schemes and their antipodal \(P\)- polynomial covers | 1993-10-24 | Paper |
| The subconstituent algebra of an association scheme. III | 1993-10-13 | Paper |
| The subconstituent algebra of an association scheme. II | 1993-10-13 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3972080 | 1992-06-25 | Paper |
| The classification of distance-regular graphs of type IIB | 1988-01-01 | Paper |
| Balanced sets and Q-polynomial association schemes | 1988-01-01 | Paper |
| The classification of finite connected hypermetric spaces | 1987-01-01 | Paper |
| Root system graphs | 1987-01-01 | Paper |
| A characterization of \(P\)- and \(Q\)-polynomial association schemes | 1987-01-01 | Paper |
| P and Q polynomial schemes with \(q=-1\) | 1987-01-01 | Paper |
| Root systems and the Johnson and Hamming graphs | 1987-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3684144 | 1986-01-01 | Paper |
| A class of distance-regular graphs that are \(\phi\)-polynomial | 1986-01-01 | Paper |
| The Johnson graph \(J(d,r)\) is unique if \((d,r)\neq (2,8)\) | 1986-01-01 | Paper |
| A new feasibility condition for distance-regular graphs | 1986-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3720610 | 1985-01-01 | Paper |
| Distance-regular graphs with girth 3 or 4: I | 1985-01-01 | Paper |
| Distance-regular graphs and (s,c,a,k)-graphs | 1983-01-01 | Paper |
| The diameter of bipartite distance-regular graphs | 1982-01-01 | Paper |
| Eigenvalue multiplicities of highly symmetric graphs | 1982-01-01 | Paper |
