Tatsuro Ito

activity

20032019

P

-and

Q

-polynomial association schemes

40 citations · 178 across the 23 of their papers we have counts for

collaborators

23 papers

math.CO2019

The isomorphism problem of trees from the viewpoint of Terwilliger algebras

Shuang-Dong Li, Yi-Zheng Fan, Tatsuro Ito +2

Let $Γ^{(x_{0})}$ be a finite rooted tree, for which $Γ$ is the underlying tree and $x_{0}$ the root. Let $T$ be the Terwilliger algebra of $Γ$ with respect to $x_{0}$ . We study the stru…

math.QA2013★ 2 cited

Evaluation modules for the $q$ -tetrahedron algebra

Tatsuro Ito, Hjalmar Rosengren, Paul Terwilliger

Let $F$ denote an algebraically closed field, and fix a nonzero $q \in F$ that is not a root of unity. We consider the $q$ -tetrahedron algebra $⊠_{q}$ over $\…

math.QA2012★ 1 cited

On a Certain Subalgebra of $U_{q} (sl_{2})$ Related to the Degenerate $q$ -Onsager Algebra

Tomoya Hattai, Tatsuro Ito

In [Kyushu J. Math. 64 (2010), 81-144, arXiv:0904.2889], it is discussed that a certain subalgebra of the quantum affine algebra $U_{q} (sl_{2})$ controls the secon…

math.RA2010★ 8 cited

A classification of sharp tridiagonal pairs

Tatsuro Ito, Kazumasa Nomura, Paul Terwilliger

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

math.RA2010★ 23 cited

Double Affine Hecke Algebras of Rank 1 and the $Z_{3}$ -Symmetric Askey-Wilson Relations

Tatsuro Ito, Paul Terwilliger

We consider the double affine Hecke algebra $H = H (k_{0}, k_{1}, k_{0}^{\lor}, k_{1}^{\lor}; q)$ associated with the root system $(C_{1}^{\lor}, C_{1})$ . We display three elements $x$ , $y$ , $z$ in $H$ that…

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…