Paul Terwilliger
- Two linear transformations each tridiagonal with respect to an eigenbasis of the other
2001/06/01 by Paul Terwilliger · 33 citations
Mathematics · Computer Science · #Algebraic structures and combinatorial models #Advanced Topics in Algebra #Coding theory and cryptography
- Two relations that generalize the q-Serre relations and the Dolan-Grady relations
2003/07/01 by Paul Terwilliger, Terwilliger, Paul · 2 citations
Mathematics · Physics and Astronomy · #05E30 #05E35 #33C45 #33D45 #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #FOS: Physical sciences #Finite Group Theory Research #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math-ph #math.CO #math.MP #math.QA #math.RA #math.RT #msc:05E30 #msc:05E35 #msc:33C45 #msc:33D45
- Two linear transformations each tridiagonal with respect to an eigenbasis of the other
2004/06/27 by Paul Terwilliger · 2 citations
Mathematics · Physics and Astronomy · #math.RA #math-ph #math.MP #msc:17B37
- The<i>q</i>-Tetrahedron Algebra and Its Finite Dimensional Irreducible Modules
2007/10/21 by Tatsuro Ito, Paul Terwilliger · 9 citations
Mathematics · Computer Science · #Algebraic structures and combinatorial models #Advanced Topics in Algebra #Matrix Theory and Algorithms
- Leonard pairs and the Askey-Wilson relations
2003/05/26 by Paul Terwilliger, Raimundas Vidunas, Raimundas Vidūnas +2 · 2 citations
Mathematics · #05E35 #17B37 #33C45 #33D45 #Advanced Topics in Algebra #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Quantum Algebra (math.QA) #Rings and Algebras (math.RA) #math.QA #math.RA #msc:05E35 #msc:17B37 #msc:33C45 #msc:33D45
- How to sharpen a tridiagonal pair
2008/07/25 by Tatsuro Ito, Ito, Tatsuro, Paul Terwilliger +1 · 2 citations
Engineering · Mathematics · #05E30 #15A21 #Advanced Topics in Algebra #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #Rings and Algebras (math.RA) #graph theory and CDMA systems
- Tridiagonal pairs of Krawtchouk type
2007/06/07 by Tatsuro Ito, Paul Terwilliger, Ito, Tatsuro +1 · 3 citations
Mathematics · Engineering · Computer Science · #Finite Group Theory Research #graph theory and CDMA systems #Coding theory and cryptography
- The shape of a tridiagonal pair
2003/04/17 by Tatsuro Ito, Ito, Tatsuro, Paul Terwilliger +1 · 1 citation
Engineering · Mathematics · #05E35 #17B37 #33C45 #33D45 #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #FOS: Mathematics #Manufacturing Process and Optimization #Quantum Algebra (math.QA) #math.QA #msc:05E35 #msc:17B37 #msc:33C45 #msc:33D45
- The displacement and split decompositions for a Q-polynomial distance-regular graph
2003/06/08 by Paul Terwilliger, Terwilliger, Paul · 1 citation
Mathematics · #05E30 #Combinatorics (math.CO) #FOS: Mathematics #math.CO #msc:05E30
- Tridiagonal pairs and the quantum affine algebra Uq( sl2)
2003/10/03 by Tatsuro Ito, Ito, Tatsuro, Paul Terwilliger +1 · 1 citation
Computer Science · Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Matrix Theory and Algorithms #math.CV #math.QA #msc:20G42
- Two Linear Transformations each Tridiagonal with Respect to an Eigenbasis of the other; Comments on the Parameter Array
2005/02/01 by Paul Terwilliger · 1 citation
- Leonard pairs, spin models, and distance-regular graphs
2019/07/08 by Kazumasa Nomura, Paul Terwilliger, Nomura, Kazumasa +1 · 3 citations
Mathematics · #Finite Group Theory Research #Algebraic structures and combinatorial models #Advanced Topics in Algebra
- The split decomposition of a tridiagonal pair
2006/12/16 by Kazumasa Nomura, Paul Terwilliger, Nomura, Kazumasa +1 · 1 citation
Mathematics · Engineering · Computer Science · #Finite Group Theory Research #graph theory and CDMA systems #Coding theory and cryptography
- Sharp tridiagonal pairs
2007/12/21 by Kazumasa Nomura, Paul Terwilliger, Nomura, Kazumasa +1 · 2 citations
Computer Science · Engineering · Mathematics · #05E35 #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #Matrix Theory and Algorithms #Rings and Algebras (math.RA) #graph theory and CDMA systems
- The structure of a tridiagonal pair
2008/02/08 by Kazumasa Nomura, Paul Terwilliger, Nomura, Kazumasa +1 · 1 citation
Computer Science · Engineering · Mathematics · #05E30 #33C45 #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #Matrix Theory and Algorithms #Rings and Algebras (math.RA) #graph theory and CDMA systems
- 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 by Paul Terwilliger, Terwilliger, Paul · 4 citations
Computer Science · Mathematics · #17B37 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Mathematical functions and polynomials #Mathematics and Applications #Matrix Theory and Algorithms #Quantum Algebra (math.QA)
- Totally bipartite tridiagonal pairs
2017/11/01 by Kazumasa Nomura, Paul Terwilliger, Nomura, Kazumasa +1 · 1 citation
Computer Science · Engineering · Mathematics · #17B37 #Coding theory and cryptography #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #Quantum Algebra (math.QA) #graph theory and CDMA systems
- Two linear transformations each tridiagonal with respect to an eigenbasis of the other; comments on the parameter array
2003/06/19 by Paul Terwilliger, Terwilliger, Paul · 1 citation
Computer Science · Engineering · Mathematics · Physics and Astronomy · #05E30 #17B37 #33C45 #33D45 #Combinatorics (math.CO) #FOS: Mathematics #FOS: Physical sciences #Finite Group Theory Research #Mathematical Physics (math-ph) #Matrix Theory and Algorithms #Quantum Algebra (math.QA) #Representation Theory (math.RT) #Rings and Algebras (math.RA) #graph theory and CDMA systems #math-ph #math.CO #math.MP #math.QA #math.RA #math.RT #msc:05E30 #msc:17B37 #msc:33C45 #msc:33D45
- The S3-symmetric tridiagonal algebra
2024/06/30 by Paul Terwilliger, Terwilliger, Paul · 1 citation
Mathematics · Computer Science · #Advanced Topics in Algebra #Matrix Theory and Algorithms #Algebraic structures and combinatorial models
- The nucleus of a Q-polynomial distance-regular graph
2024/08/21 by Paul Terwilliger, Terwilliger, Paul · 1 citation
Computer Science · Engineering · Mathematics · #05E30 #Coding theory and cryptography #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #Quantum Algebra (math.QA) #graph theory and CDMA systems
- Variations on a circular Hessenberg pair
2026/07/18 by Kazumasa Nomura, Paul Terwilliger
#math.CO #math.RA