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Paul Terwilliger

Identifiers

  • name variant Paul Terwilliger 0.60 · backfill

Papers (87)

  1. The alternating central extension for the positive part of $U_q(\widehat{\mathfrak{sl}}_2)$ math.QA · 2019 · author #1
  2. Leonard pairs, spin models, and distance-regular graphs math.RA · 2019 · author #2
  3. 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 math-ph · 2018 · author #1
  4. Using Catalan words and a $q$-shuffle algebra to describe a PBW basis for the positive part of $U_q({\widehat {\mathfrak{sl}}}_2)$ math.QA · 2018 · author #1
  5. Self-dual Leonard pairs math.RA · 2018 · author #2
  6. The $q$-Onsager Algebra and the Universal Askey-Wilson Algebra math.QA · 2018 · author #1
  7. Totally bipartite tridiagonal pairs math.QA · 2017 · author #2
  8. The quantum adjacency algebra and subconstituent algebra of a graph math.CO · 2017 · author #1
  9. A poset $\Phi_n$ whose maximal chains are in bijection with the $n \times n$ alternating sign matrices math.CO · 2017 · author #1
  10. The Lusztig automorphism of the $q$-Onsager algebra math.QA · 2017 · author #1
  11. The universal DAHA of type $(C_1^\vee,C_1)$ and Leonard pairs of $q$-Racah type math.QA · 2017 · author #2
  12. Leonard triples of $q$-Racah type math.QA · 2016 · author #1
  13. Tridiagonal pairs of $q$-Racah type, the Bockting operator $\psi$, and $L$-operators for $U_q(L({\mathfrak{sl}}_2))$ math.QA · 2016 · author #1
  14. The Lusztig automorphism of $U_q(\mathfrak{sl}_2)$ from the equitable point of view math.QA · 2015 · author #1
  15. The $q$-Onsager algebra and the positive part of $U_q({\widehat{\mathfrak{sl}}}_2)$ math.QA · 2015 · author #1
  16. Lowering-Raising triples and $U_q(\mathfrak{sl}_2)$ math.QA · 2015 · author #1
  17. Billiard Arrays and finite-dimensional irreducible $U_q(\mathfrak{sl}_2)$-modules math.QA · 2014 · author #1
  18. Evaluation modules for the $q$-tetrahedron algebra math.QA · 2013 · author #3
  19. Distance-regular graphs of $q$-Racah type and the universal Askey-Wilson algebra math.CO · 2013 · author #1
  20. The algebra $U_q({\mathfrak{sl}_2})$ in disguise math.RT · 2013 · author #2
  21. Finite-dimensional irreducible $U_q(\mathfrak{sl}_2)$-modules from the equitable point of view math.QA · 2013 · author #1
  22. Augmented down-up algebras and uniform posets math.QA · 2012 · author #1
  23. The Universal Askey-Wilson Algebra and DAHA of Type $(C_1^{\vee},C_1)$ math.QA · 2012 · author #1
  24. Krawtchouk polynomials, the Lie algebra $\mathfrak{sl}_2$, and Leonard pairs math.RT · 2012 · author #2
  25. Bipartite Q-polynomial distance-regular graphs and uniform posets math.CO · 2011 · author #2
  26. The Universal Askey-Wilson Algebra and the Equitable Presentation of $U_q(\mathfrak{sl}_2)$ math.QA · 2011 · author #1
  27. The Universal Askey-Wilson Algebra math.RA · 2011 · author #1
  28. The A-like matrices for a hypercube math.CO · 2010 · author #2
  29. Tridiagonal matrices with nonnegative entries math.CO · 2010 · author #2
  30. The Rahman polynomials and the Lie algebra sl_3(C) math.RT · 2010 · author #2
  31. Double Affine Hecke Algebras of Rank 1 and the $Z_3$-Symmetric Askey-Wilson Relations math.RA · 2010 · author #2
  32. A classification of sharp tridiagonal pairs math.RA · 2010 · author #3
  33. A characterization of Q-polynomial distance-regular graphs math.CO · 2009 · author #2
  34. Tridiagonal pairs of $q$-Racah type and the $\mu$-conjecture math.RA · 2009 · author #2
  35. Tridiagonal pairs and the $\mu$-conjecture math.RA · 2009 · author #2
  36. An algebra generated by two sets of mutually orthogonal idempotents math.RA · 2009 · author #2
  37. On the shape of a tridiagonal pair math.RA · 2009 · author #2
  38. The $q$-Onsager algebra math.QA · 2009 · author #2
  39. The augmented tridiagonal algebra math.QA · 2009 · author #2
  40. The Equitable Basis for sl_2 math.RT · 2008 · author #2
  41. Mock Tridiagonal Systems math.RA · 2008 · author #2
  42. How to sharpen a tridiagonal pair math.RA · 2008 · author #2
  43. Tridiagonal pairs of $q$-Racah type math.QA · 2008 · author #2
  44. The Drinfel'd polynomial of a tridiagonal pair math.RA · 2008 · author #2
  45. The structure of a tridiagonal pair math.RA · 2008 · author #2
  46. Towards a classification of the tridiagonal pairs math.RA · 2008 · author #2
  47. Sharp tridiagonal pairs math.RA · 2007 · author #2
  48. Distance-regular graphs of $q$-Racah type and the $q$-tetrahedron algebra math.CO · 2007 · author #2
  49. Finite-dimensional irreducible modules for the three-point $\mathfrak{sl}_2$ loop algebra math.RT · 2007 · author #2
  50. Tridiagonal pairs of Krawtchouk type math.RA · 2007 · author #2
  51. Transition maps between the 24 bases for a Leonard pair math.RA · 2007 · author #2
  52. The split decomposition of a tridiagonal pair math.RA · 2006 · author #2
  53. Affine transformations of a Leonard pair math.RA · 2006 · author #2
  54. Distance-regular graphs and the $q$-tetrahedron algebra math.CO · 2006 · author #2
  55. The switching element for a Leonard pair math.RA · 2006 · author #2
  56. $q$-Inverting pairs of linear transformations and the $q$-tetrahedron algebra math.RT · 2006 · author #2
  57. Linear transformations that are tridiagonal with respect to both eigenbases of a Leonard pair math.RA · 2006 · author #2
  58. The subconstituent algebra of a bipartite distance-regular graph; thin modules with endpoint two math.CO · 2006 · author #2
  59. Matrix units associated with the split basis of a Leonard pair math.RA · 2006 · author #2
  60. The $q$-tetrahedron algebra and its finite dimensional irreducible modules math.QA · 2006 · author #2
  61. The Universal Central Extension of the Three-point sl_2 Loop Algebra math.RA · 2005 · author #2
  62. The determinant of $AA^*-A^*A$ for a Leonard pair $A,A^*$ math.RA · 2005 · author #2
  63. The Tetrahedron algebra, the Onsager algebra, and the $\mathfrak{sl}_2$ loop algebra math-ph · 2005 · author #2
  64. Some trace formulae involving the split sequences of a Leonard pair math.RA · 2005 · author #2
  65. Taut distance-regular graphs and the subconstituent algebra math.CO · 2005 · author #2
  66. Two non-nilpotent linear transformations that satisfy the cubic $q$-Serre relations math.QA · 2005 · author #2
  67. The equitable presentation for the quantum group $U_q(g)$ associated with a symmetrizable Kac-Moody algebra $g$ math.QA · 2005 · author #1
  68. The quantum algebra $U_q(sl_2)$ and its equitable presentation math.QA · 2005 · author #2
  69. Balanced Leonard Pairs math.RA · 2005 · author #2
  70. Two linear transformations each tridiagonal with respect to an eigenbasis of the other; an algebraic approach to the Askey scheme of orthogonal polynomials math.QA · 2004 · author #1
  71. Leonard pairs from 24 points of view math.RA · 2004 · author #1
  72. Some algebra related to $P$-and $Q$-polynomial association schemes math.CO · 2004 · author #3
  73. Two linear transformations each tridiagonal with respect to an eigenbasis of the other math.RA · 2004 · author #1
  74. The Pseudo Cosine Sequences of a Distance-Regular Graph math.CO · 2003 · author #2
  75. An inequality for regular near polygons math.CO · 2003 · author #1
  76. Irreducible Modules for the Quantum Affine Algebra $U_q(\hat{sl}_2)$ and its Borel subalgebra $U_q(\hat{sl}_2)^{\geq 0}$ math.QA · 2003 · author #2
  77. Tridiagonal pairs and the quantum affine algebra $U_q({\hat {sl}}_2)$ math.QA · 2003 · author #2
  78. Distance-regular graphs, pseudo primitive idempotents, and the Terwilliger algebra math.CO · 2003 · author #1
  79. Two linear transformations each tridiagonal with respect to an eigenbasis of the other; an overview math.RA · 2003 · author #1
  80. Two relations that generalize the $q$-Serre relations and the Dolan-Grady relations math.QA · 2003 · author #1
  81. Leonard pairs and the q-Racah polynomials math.QA · 2003 · author #1
  82. Two linear transformations each tridiagonal with respect to an eigenbasis of the other; comments on the parameter array math.RA · 2003 · author #1
  83. Two linear transformations each tridiagonal with respect to an eigenbasis of the other; comments on the split decomposition math.RA · 2003 · author #1
  84. The displacement and split decompositions for a $Q$-polynomial distance-regular graph math.CO · 2003 · author #1
  85. Leonard pairs and the Askey-Wilson relations math.QA · 2003 · author #1
  86. The shape of a tridiagonal pair math.QA · 2003 · author #2
  87. Tight distance-regular graphs math.CO · 2001 · author #3

Mentions

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Frequent Coauthors