Tatsuro Ito

activity

20032009

P

-and

Q

-polynomial association schemes

40 citations · 144 across the 18 of their papers we have counts for

collaborators

Showing 2006Show all

3 papers · 1 filter

math.CO2006★ 3 cited

Distance-regular graphs and the $q$ -tetrahedron algebra

Tatsuro Ito, Paul Terwilliger

Let $Γ$ denote a distance-regular graph with classical parameters $(D, b, α, β)$ and $b \neq = 1$ , $α = b - 1$ . The condition on $α$ implies that $Γ$ is formally self-dual. For $b = q^{2}$ we us…

math.RT2006★ 3 cited

$q$ -Inverting pairs of linear transformations and the $q$ -tetrahedron algebra

Tatsuro Ito, Paul Terwilliger

As part of our study of the $q$ -tetrahedron algebra $⊠_{q}$ we introduce the notion of a $q$ -inverting pair. Roughly speaking, this is a pair of invertible semisimple linear…

math.QA2006★ 6 cited

The $q$ -tetrahedron algebra and its finite dimensional irreducible modules

Tatsuro Ito, Paul Terwilliger

Recently B. Hartwig and the second author found a presentation for the three-point $s l_{2}$ loop algebra via generators and relations. To obtain this presentation they defined an alg…

Distance-regular graphs and the q-tetrahedron algebra

q-Inverting pairs of linear transformations and the q-tetrahedron algebra

The q-tetrahedron algebra and its finite dimensional irreducible modules

Distance-regular graphs and the $q$ -tetrahedron algebra

$q$ -Inverting pairs of linear transformations and the $q$ -tetrahedron algebra

The $q$ -tetrahedron algebra and its finite dimensional irreducible modules