Paul M. Terwilliger

Geometry and Topology · 2000–2011

A researcher in the Science corpus: 19 papers; trusts 15 researchers and is trusted by 17 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 12 citations into it; #718 of 7,422 by trust here, #631 by citations
• Algebra and Number Theory — 11 citations into it; #757 of 2,864 by trust here, #334 by citations
• Applied Mathematics — 9 citations into it; #1,787 of 7,620 by trust here, #3,589 by citations
• Computational Theory and Mathematics — 6 citations into it; #1,509 of 12,182 by trust here, #1,782 by citations
• Atomic and Molecular Physics, and Optics — 5 citations into it
• Statistical and Nonlinear Physics — 5 citations into it; #10,044 of 10,127 by trust here, #8,564 by citations

Whom Paul M. Terwilliger trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Tatsuro Ito
2. Brian Curtin
3. Luc Vinet
4. V. Kuznetsov
5. Raimundas Vidunas
6. Tom H. Koornwinder
7. Alexei S. Zhedanov
8. M. Noumi
9. Siddhartha Sahi
10. Kazumasa Nomura

Who trusts Paul M. Terwilliger overall

1. Tatsuro Ito
2. Luc Vinet
3. Plamen Iliev
4. 伊藤 達郎
5. Alexei S. Zhedanov
6. Kazumasa Nomura
7. Raimundas Vidunas
8. B. Hartwig
9. Brian Curtin
10. Hau-wen Huang

Papers from Paul M. Terwilliger's perspective

Ordered by how strongly the researchers Paul M. Terwilliger trusts endorse each paper. Same corpus, a different order for every researcher.

1. The shape of a tridiagonal pair
2. LEONARD PAIRS AND THE ASKEY-WILSON RELATIONS
3. Linear transformations that are tridiagonal with respect to both eigenbases of a Leonard pair
4. The Tetrahedron algebra, the Onsager algebra, and the sl2 loop algebra
5. Tridiagonal pairs and the quantum affine algebra $${\boldmath U_q({\widehat {sl}}_2)}$$
6. The augmented tridiagonal algebra
7. Modular Leonard triples
8. Hypergeometric Orthogonal Polynomials
9. Askey-Wilson polynomials: an affine Hecke algebra approach
10. Two linear transformations each tridiagonal with respect to an eigenbasis of the other: An Algebraic approach to the Askey scheme of orthogonal polynomials

Their papers

• Two linear transformations each tridiagonal with respect to an eigenbasis of the other: An Algebraic approach to the Askey scheme of orthogonal polynomials (2004) — 245 citations
• Introduction to Leonard pairs (2003) — 111 citations
• LEONARD PAIRS AND THE ASKEY-WILSON RELATIONS (2003) — 179 citations
• Two linear transformations each tridiagonal with respect to an eigenbasis of the other: comments on the split decomposition (2003) — 55 citations
• Two linear transformations each tridiagonal with respect to an eigenbasis of the other; the TD- D canonical form and the LB- UB canonical form (2003) — 135 citations
• Linear transformations that are tridiagonal with respect to both eigenbases of a Leonard pair (2006) — 58 citations
• The Universal Askey-Wilson Algebra (2011) — 87 citations
• The Rahman polynomials and the Lie algebra sl_3(C) (2010) — 49 citations
• The augmented tridiagonal algebra (2009) — 95 citations
• Tridiagonal pairs of q-Racah type (2008) — 59 citations
• Finite-Dimensional Irreducible Modules for the Three-Point 𝔰𝔩2 Loop Algebra (2007) — 55 citations
• The Tetrahedron algebra, the Onsager algebra, and the sl2 loop algebra (2007) — 78 citations
• Tridiagonal pairs and the quantum affine algebra $${\boldmath U_q({\widehat {sl}}_2)}$$ (2007) — 65 citations
• An Algebraic Approach to the Askey Scheme of Orthogonal Polynomials (2006) — 154 citations
• TWO NON-NILPOTENT LINEAR TRANSFORMATIONS THAT SATISFY THE CUBIC q-SERRE RELATIONS (2005) — 74 citations
• Tridiagonal pairs and the quantum affine algebra Uq(sl2) (代数的組合せ論) (2005) — 103 citations
• The shape of a tridiagonal pair (2003) — 87 citations
• Two relations that generalize the $q$-Serre relations and the Dolan-Grady relations (2001) — 169 citations
• Tight Distance-Regular Graphs (2000) — 76 citations