Paul M. Terwilliger

activity

20012011

most citedThe Universal Askey-Wilson Algebra

71 citations · 312 across the 50 of their papers we have counts for

collaborators

Showing 2006 · math.RAShow all

5 papers · 2 filters

math.RA2006★ 1 cited

The split decomposition of a tridiagonal pair

Kazumasa Nomura, Paul Terwilliger

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

math.RA2006★ 5 cited

Affine transformations of a Leonard pair

Kazumasa Nomura, Paul Terwilliger

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 \…

math.RA2006★ 1 cited

The switching element for a Leonard pair

Kazumasa Nomura, Paul Terwilliger

Let $V$ denote a vector space with finite positive dimension. We consider a pair of linear transformations $A : V \to V$ and $A^{*} : V \to V$ that satisfy (i) and (ii) below: (i) Th…

math.RA2006★ 1 cited

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

Kazumasa Nomura, Paul Terwilliger

Let $K$ denote a field and let $V$ denote a vector space over $K$ with finite positive dimension. We consider a pair of linear transformations $A : V \to V$ and $A^{*} : V \to V$ tha…

math.RA2006★ 1 cited

Matrix units associated with the split basis of a Leonard pair

Kazumasa Nomura, Paul Terwilliger

Let $K$ denote a field, and let $V$ denote a vector space over $K$ with finite positive dimension. We consider a pair of linear transformations $A : V \to V$ and $A^{*} : V \to V$ that s…