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1

LEONARD PAIRS AND THE ASKEY–WILSON RELATIONS

TERWILLIGER, PAUL, VIDUNAS, RAIMUNDAS

Journal:

Journal of Algebra and Its Applications

Year:

2004

Language:

english

File:

PDF, 248 KB

english, 2004

2

Finite-Dimensional Irreducible Modules for the Three-Point 2 Loop Algebra

Ito, Tatsuro, Terwilliger, Paul

Journal:

Communications in Algebra

Year:

2008

Language:

english

File:

PDF, 293 KB

english, 2008

3

The Rahman polynomials and the Lie algebra $\mathfrak{sl}_{3}(\mathbb{C})$

Iliev, Plamen, Terwilliger, Paul

Journal:

Transactions of the American Mathematical Society

Year:

2012

Language:

english

File:

PDF, 244 KB

english, 2012

4

Irreducible modules for the quantum affine algebra and its Borel subalgebra

Georgia Benkart, Paul Terwilliger

Journal:

Journal of Algebra

Year:

2004

Language:

english

File:

PDF, 217 KB

english, 2004

5

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 Terwilliger

Journal:

Journal of Algebra

Year:

2005

Language:

english

File:

PDF, 329 KB

english, 2005

6

The quantum algebra and its equitable presentation

Tatsuro Ito, Paul Terwilliger, Chih-wen Weng

Journal:

Journal of Algebra

Year:

2006

Language:

english

File:

PDF, 158 KB

english, 2006

7

The equitable presentation for the quantum group associated with a symmetrizable Kac–Moody algebra

Paul Terwilliger

Journal:

Journal of Algebra

Year:

2006

Language:

english

File:

PDF, 154 KB

english, 2006

8

Tridiagonal pairs of q-Racah type

Tatsuro Ito, Paul Terwilliger

Journal:

Journal of Algebra

Year:

2009

Language:

english

File:

PDF, 316 KB

english, 2009

9

Some trace formulae involving the split sequences of a Leonard pair

Kazumasa Nomura, Paul Terwilliger

Journal:

Linear Algebra and its Applications

Year:

2006

Language:

english

File:

PDF, 164 KB

english, 2006

10

A classification of sharp tridiagonal pairs

Tatsuro Ito, Kazumasa Nomura, Paul Terwilliger

Journal:

Linear Algebra and its Applications

Year:

2011

Language:

english

File:

PDF, 492 KB

english, 2011

11

Two linear transformations each tridiagonal with respect to an eigenbasis of the other

Paul Terwilliger

Journal:

Linear Algebra and its Applications

Year:

2001

Language:

english

File:

PDF, 377 KB

english, 2001

12

The Displacement and Split Decompositions for a Q-Polynomial Distance-regular Graph

Paul Terwilliger

Journal:

Graphs and Combinatorics

Year:

2005

Language:

english

File:

PDF, 351 KB

english, 2005

13

Tridiagonal pairs and the quantum affine algebra({oldmath U_q({widehat {sl}}_2)})

Tatsuro Ito, Paul Terwilliger

Journal:

The Ramanujan Journal

Year:

2007

Language:

english

File:

PDF, 477 KB

english, 2007

14

Advances, Interactions, and Future Developments in the CNS, Phenix, and Rosetta Structural Biology Software Systems

Adams, Paul D., Baker, David, Brunger, Axel T., Das, Rhiju, DiMaio, Frank, Read, Randy J., Richardson, David C., Richardson, Jane S., Terwilliger, Thomas C.

Journal:

Annual Review of Biophysics

Year:

2013

Language:

english

File:

PDF, 1.43 MB

english, 2013

15

The q -Tetrahedron Algebra and Its Finite Dimensional Irreducible Modules

Ito, Tatsuro, Terwilliger, Paul

Journal:

Communications in Algebra

Year:

2007

Language:

english

File:

PDF, 206 KB

english, 2007

16

TWO NON-NILPOTENT LINEAR TRANSFORMATIONS THAT SATISFY THE CUBIC q-SERRE RELATIONS

ITO, TATSURO, TERWILLIGER, PAUL

Journal:

Journal of Algebra and Its Applications

Year:

2007

Language:

english

File:

PDF, 385 KB

english, 2007

17

The Lusztig automorphism of the q -Onsager algebra

Terwilliger, Paul

Journal:

Journal of Algebra

Year:

2018

Language:

english

File:

PDF, 391 KB

english, 2018

18

Using Catalan words and a q-shuffle algebra to describe a PBW basis for the positive part of

Terwilliger, Paul

Journal:

Journal of Algebra

Year:

2019

Language:

english

File:

PDF, 341 KB

english, 2019

19

THE AUGMENTED TRIDIAGONAL ALGEBRA

ITO, Tatsuro, TERWILLIGER, Paul

Journal:

Kyushu Journal of Mathematics

Year:

2009

Language:

english

File:

PDF, 826 KB

english, 2009

20

P- and Q-Polynomial Association Schemes and Their Antipodal P-Polynomial Covers

Paul Terwilliger

Journal:

European Journal of Combinatorics

Year:

1993

File:

PDF, 92 KB

1993

21

Dual Bipartite Q-polynomial Distance-regular Graphs

Garth A. Dickie, Paul M. Terwilliger

Journal:

European Journal of Combinatorics

Year:

1996

Language:

english

File:

PDF, 269 KB

english, 1996

22

Tight Distance-regular Graphs and the Subconstituent Algebra

Junie T. Go, Paul Terwilliger

Journal:

European Journal of Combinatorics

Year:

2002

Language:

english

File:

PDF, 427 KB

english, 2002

23

Eigenvalue multiplicities of highly symmetric graphs

Paul Terwilliger

Journal:

Discrete Mathematics

Year:

1982

Language:

english

File:

PDF, 905 KB

english, 1982

24

A new feasibility condition for distance-regular graphs

Paul Terwilliger

Journal:

Discrete Mathematics

Year:

1986

Language:

english

File:

PDF, 228 KB

english, 1986

25

The Johnson graph J(d, r) is unique if (d, r) ≠ (2, 8)

Paul Terwilliger

Journal:

Discrete Mathematics

Year:

1986

Language:

english

File:

PDF, 740 KB

english, 1986

26

A new inequality for distance-regular graphs

Paul Terwilliger

Journal:

Discrete Mathematics

Year:

1995

Language:

english

File:

PDF, 521 KB

english, 1995

27

On Garsia-Remmel problem of rook equivalence

Kequan Ding, Paul Terwilliger

Journal:

Discrete Mathematics

Year:

1996

Language:

english

File:

PDF, 315 KB

english, 1996

28

Distance-regular graphs and (s, c, a, k)-graphs

Paul Terwilliger

Journal:

Journal of Combinatorial Theory, Series B

Year:

1983

Language:

english

File:

PDF, 546 KB

english, 1983

29

Distance-regular graphs with girth 3 or 4: I

Paul Terwilliger

Journal:

Journal of Combinatorial Theory, Series B

Year:

1985

Language:

english

File:

PDF, 913 KB

english, 1985

30

P and Q polynomial schemes with q = −1

Paul Terwilliger

Journal:

Journal of Combinatorial Theory, Series B

Year:

1987

Language:

english

File:

PDF, 200 KB

english, 1987

31

A characterization of P- and Q-polynomial association schemes

Paul Terwilliger

Journal:

Journal of Combinatorial Theory, Series A

Year:

1987

Language:

english

File:

PDF, 807 KB

english, 1987

32

Kite-free distance-regular graphs

Paul Terwilliger

Journal:

European Journal of Combinatorics

Year:

1995

Language:

english

File:

PDF, 451 KB

english, 1995

33

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

Paul Terwilliger

Journal:

Journal of Computational and Applied Mathematics

Year:

2005

Language:

english

File:

PDF, 256 KB

english, 2005

34

The Terwilliger algebra of an almost-bipartite P- and Q-polynomial association scheme

John S. Caughman, Mark S. MacLean, Paul M. Terwilliger

Journal:

Discrete Mathematics

Year:

2005

Language:

english

File:

PDF, 316 KB

english, 2005

35

Taut distance-regular graphs and the subconstituent algebra

Mark S. MacLean, Paul Terwilliger

Journal:

Discrete Mathematics

Year:

2006

Language:

english

File:

PDF, 374 KB

english, 2006

36

An inequality for regular near polygons

Paul Terwilliger, Chih-wen Weng

Journal:

European Journal of Combinatorics

Year:

2005

Language:

english

File:

PDF, 190 KB

english, 2005

37

Almost-bipartite distance-regular graphs with the Q-polynomial property

Michael S. Lang, Paul M. Terwilliger

Journal:

European Journal of Combinatorics

Year:

2007

Language:

english

File:

PDF, 219 KB

english, 2007

38

Distance-regular graphs and the -tetrahedron algebra

Tatsuro Ito, Paul Terwilliger

Journal:

European Journal of Combinatorics

Year:

2009

Language:

english

File:

PDF, 811 KB

english, 2009

39

Distance-regular graphs with light tails

Aleksandar Jurišić, Paul Terwilliger, Arjana Žitnik

Journal:

European Journal of Combinatorics

Year:

2010

Language:

english

File:

PDF, 428 KB

english, 2010

40

The Tetrahedron algebra, the Onsager algebra, and the loop algebra

Brian Hartwig, Paul Terwilliger

Journal:

Journal of Algebra

Year:

2007

Language:

english

File:

PDF, 207 KB

english, 2007

41

The shape of a tridiagonal pair

Tatsuro Ito, Paul Terwilliger

Journal:

Journal of Pure and Applied Algebra

Year:

2004

Language:

english

File:

PDF, 294 KB

english, 2004

42

The determinant of AA∗–A∗A for a Leonard pair A, A∗

Kazumasa Nomura, Paul Terwilliger

Journal:

Linear Algebra and its Applications

Year:

2006

Language:

english

File:

PDF, 141 KB

english, 2006

43

Matrix units associated with the split basis of a Leonard pair

Kazumasa Nomura, Paul Terwilliger

Journal:

Linear Algebra and its Applications

Year:

2006

Language:

english

File:

PDF, 182 KB

english, 2006

44

The pseudo-cosine sequences of a distance-regular graph

Arlene A. Pascasio, Paul Terwilliger

Journal:

Linear Algebra and its Applications

Year:

2006

Language:

english

File:

PDF, 335 KB

english, 2006

45

Balanced Leonard pairs

Kazumasa Nomura, Paul Terwilliger

Journal:

Linear Algebra and its Applications

Year:

2007

Language:

english

File:

PDF, 230 KB

english, 2007

46

Linear transformations that are tridiagonal with respect to both eigenbases of a Leonard pair

Kazumasa Nomura, Paul Terwilliger

Journal:

Linear Algebra and its Applications

Year:

2007

Language:

english

File:

PDF, 177 KB

english, 2007

47

The split decomposition of a tridiagonal pair

Kazumasa Nomura, Paul Terwilliger

Journal:

Linear Algebra and its Applications

Year:

2007

Language:

english

File:

PDF, 146 KB

english, 2007

48

q-Inverting pairs of linear transformations and the q-tetrahedron algebra

Tatsuro Ito, Paul Terwilliger

Journal:

Linear Algebra and its Applications

Year:

2007

Language:

english

File:

PDF, 255 KB

english, 2007

49

Tridiagonal pairs of Krawtchouk type

Tatsuro Ito, Paul Terwilliger

Journal:

Linear Algebra and its Applications

Year:

2007

Language:

english

File:

PDF, 207 KB

english, 2007

50

The switching element for a Leonard pair

Kazumasa Nomura, Paul Terwilliger

Journal:

Linear Algebra and its Applications

Year:

2008

Language:

english

File:

PDF, 352 KB

english, 2008

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