Paul Terwilliger

activity

20032005

P

-and

Q

-polynomial association schemes

40 citations · 121 across the 23 of their papers we have counts for

collaborators

Showing 2003 · math.QAShow all

5 papers · 2 filters

math.QA2003★ 2 cited

Irreducible Modules for the Quantum Affine Algebra $U_{q} (s l^_{2})$ and its Borel subalgebra $U_{q} (s l^_{2})^{\geq 0}$

Georgia Benkart, Paul Terwilliger

Let $U_{q} (s l^_{2})^{\geq 0}$ denote the Borel subalgebra of the quantum affine algebra $U_{q} (s l^_{2})$ . We show that the following hold for any choice of scalars $ε_{0}, ε_{1}$ fro…

math.QA2003

Tridiagonal pairs and the quantum affine algebra $U_{q} (s l^_{2})$

Tatsuro Ito, Paul Terwilliger

Let $K$ denote a field and let $V$ denote a vector space over $K$ with finite positive dimension. By definition a Leonard pair on $V$ is a pair of linear transformations $A : V \to V$ …

math.QA2003★ 14 cited

Two relations that generalize the $q$ -Serre relations and the Dolan-Grady relations

Paul Terwilliger

We define an algebra on two generators which we call the Tridiagonal algebra, and we consider its irreducible modules. The algebra is defined as follows. Let K denote a field, and…

math.QA2003★ 7 cited

Leonard pairs and the Askey-Wilson relations

Paul Terwilliger, Raimundas Vidunas

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 $A^{*} : V \to V$ whic…

math.QA2003

The shape of a tridiagonal pair

Tatsuro Ito, Paul Terwilliger

Let K denote an algebraically closed field with characteristic 0. Let V denote a vector space over K with finite positive dimension and let A,B denote a tridiagonal pair on V. We m…

Irreducible Modules for the Quantum Affine Algebra Uq​(sl^2​) and its Borel subalgebra Uq​(sl^2​)≥0

Tridiagonal pairs and the quantum affine algebra Uq​(sl^2​)

Two relations that generalize the q-Serre relations and the Dolan-Grady relations

Leonard pairs and the Askey-Wilson relations

The shape of a tridiagonal pair

Irreducible Modules for the Quantum Affine Algebra $U_{q} (s l^_{2})$ and its Borel subalgebra $U_{q} (s l^_{2})^{\geq 0}$

Tridiagonal pairs and the quantum affine algebra $U_{q} (s l^_{2})$

Two relations that generalize the $q$ -Serre relations and the Dolan-Grady relations