Author pages are created from data sourced from our academic publisher partnerships and public sources.

Publications Influence

Share This Author

The Subconstituent Algebra of an Association Scheme, (Part I)

- Paul M. Terwilliger
- Mathematics
- 1 December 1992

AbstractWe introduce a method for studying commutative association schemes with “many” vanishing intersection numbers and/or Krein parameters, and apply the method to the P- and Q-polynomial schemes.… Expand

321 20- PDF

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

- Paul M. Terwilliger
- Mathematics, Physics
- 15 June 2001

Let $K$ denote a field and let $V$ denote a vector space over $K$ with finite positive dimension. We consider an ordered pair of linear transformations $A:V\to V$ and $A^*:V\to V$ that satisfy… Expand

264 18- PDF

Some algebra related to P- and Q-polynomial association schemes

- T. Ito, K. Tanabe, Paul M. Terwilliger
- Mathematics, Computer Science
- Codes and Association Schemes
- 13 February 2001

TLDR

190 8- PDF

The Universal Askey-Wilson Algebra

- Paul M. Terwilliger
- Mathematics
- 14 April 2011

In 1992 A. Zhedanov introduced the Askey-Wilson algebra AW=AW(3) and used it to describe the Askey-Wilson polynomials. In this paper we introduce a central extension $\Delta$ of AW, obtained from AW… Expand

88 7- PDF

The quantum algebra Uq(sl2) and its equitable presentation

- T. Ito, Paul M. Terwilliger, Chih-wen Weng
- Mathematics, Physics
- 22 July 2005

Abstract We show that the quantum algebra U q ( sl 2 ) has a presentation with generators x ± 1 , y , z and relations x x −1 = x −1 x = 1 , q x y − q −1 y x q − q −1 = 1 , q y z − q −1 z y q − q −1 =… Expand

78 6- PDF

Kite-free distance-regular graphs

- Paul M. Terwilliger
- Computer Science, Mathematics
- Eur. J. Comb.
- 1 July 1995

TLDR

29 5- PDF

The Incidence Algebra of a Uniform Poset

- Paul M. Terwilliger
- Mathematics
- 1990

Let P,≤ denote a finite graded poset of rank N ≥ 2, with fibers P 0, P 1, ... , P N. Let the matrices L i, R i, E i * (0 ≤ i ≤ N) have rows and columns indexed by P, and entries
$$… Expand

37 5

Tridiagonal pairs and the quantum affine algebra Uq(sl2) (代数的組合せ論)

- 伊藤 達郎, Paul M. Terwilliger
- Mathematics
- 1 July 2005

Let K denote an algebraically closed field and let q denote a nonzero scalar in K that is not a root of unity. Let V denote a vector space over K with finite positive dimension and let A, A∗ denote a… Expand

72 5- PDF

The Tetrahedron algebra, the Onsager algebra, and the sl2 loop algebra

- B. Hartwig, Paul M. Terwilliger
- Mathematics
- 15 February 2007

Let K denote a field with characteristic 0 and let T denote an indeterminate. We give a presentation for the three-point loop algebra sl2⊗K[T,T−1,(T−1)−1] via generators and relations. This… Expand

61 5

Distance-regular graphs with girth 3 or 4: I

- Paul M. Terwilliger
- Computer Science, Mathematics
- J. Comb. Theory, Ser. B
- 1 December 1985

TLDR

29 4

...

1

2

3

4

5

...