Yuta Watanabe

activity

20172026

most citedDual Nakano positivity and singular Nakano positivity of direct image sheaves

2 citations · 4 across the 12 of their papers we have counts for

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math.CO2026

Bivariate Affine $q$ -Krawtchouk Polynomials and Association Schemes over Galois Rings

Yuta Watanabe

We introduce regularized bivariate affine $q$ -Krawtchouk polynomials and show that they give the first eigenmatrix of a translation association scheme on $\operatorname{Mat}_{d\tim…

math.CO2023

Terwilliger algebras of generalized wreath products of association schemes

Yuta Watanabe

The generalized wreath product of symmetric association schemes was introduced by R.A.Bailey in the European Journal of Combinatorics 27 (2006) 428-435. It is recognized as a unifi…

math.CO2017

Association schemes on the Schubert cells of a Grassmannian

Yuta Watanabe

Let $F$ be any field. The Grassmannian $Gr (m, n)$ is the set of $m$ -dimensional subspaces in $F^{n}$ , and the general linear group $\mathrm{GL}_n(\mathbb{F}…

math.CO2017★ 2 cited

An Algebra Associated with a Flag in a Subspace Lattice over a Finite Field and the Quantum Affine Algebra $U_{q} (sl_{2})$

Yuta Watanabe

In this paper, we introduce an algebra $H$ from a subspace lattice with respect to a fixed flag which contains its incidence algebra as a proper subalgebra. We then estab…

Bivariate Affine q-Krawtchouk Polynomials and Association Schemes over Galois Rings

Terwilliger algebras of generalized wreath products of association schemes

Association schemes on the Schubert cells of a Grassmannian

An Algebra Associated with a Flag in a Subspace Lattice over a Finite Field and the Quantum Affine Algebra Uq​(sl2​)

Bivariate Affine $q$ -Krawtchouk Polynomials and Association Schemes over Galois Rings

An Algebra Associated with a Flag in a Subspace Lattice over a Finite Field and the Quantum Affine Algebra $U_{q} (sl_{2})$