University of Wisconsin–Madison

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20022009

most citedMagnetism, superconductivity, and pairing symmetry in Fe-based superconductors

715 citations

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20 papers · 1 filter

math.RA2009

A characterization of Leonard pairs using the notion of a tail

Edward Hanson

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

math.RA2009

An algebra generated by two sets of mutually orthogonal idempotents

Tatsuro Ito, Paul Terwilliger

For a field $F$ and an integer $d \geq 1$ , we consider the universal associative $F$ -algebra $A$ generated by two sets of $d + 1$ mutually orthogonal idempotents. We display four base…

math.RA2009★ 2 cited

On the shape 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.RA2008★ 1 cited

Hessenberg Pairs of Linear Transformations

Ali Godjali

Let $\fld$ denote a field and $V$ denote a nonzero finite-dimensional vector space over $\fld$. We consider an ordered pair of linear transformations $A : V \to V$ and $A^*: V \to V…

math.RA2008★ 5 cited

Mock Tridiagonal Systems

Tatsuro Ito, Paul Terwilliger

We introduce the notion of a {\it mock tridiagonal system}. This is a generalization of a tridiagonal system in which the irreducibility assumption is replaced by a certain non-van…

math.RA2008★ 5 cited

The structure 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…