Xiaoye Liang, Tatsuro Ito, Yuta Watanabe. The Terwilliger algebra of the Grassmann scheme Jq(N,D) revisited from the viewpoint of the quantum affine algebra Uq(sl2). Linear Algebra and Its Application. 2020. 596. 1. 117-144
Yuta Watanabe. An Algebra Associated with a Flag in a Subspace Lattice over a Finite Field and the Quantum Affine Algebra $U_q(\widehat{\mathfrak{sl } }_2). The Electronic Journal of Combinatorics 25(4), #P4.31. 2018
Yuta Watanabe. An algebra associated with a subspace lattice over a finite field and its relation to the quantum affine algebra U-q((sl)over-cap(2)). JOURNAL OF ALGEBRA. 2017. 489. 475-505
渡邊 悠太. An algebraic study of association schemes and its applications. 東北大学. 2015
MISC (4件):
渡邊悠太. Generalized wreath products of association schemes over a double poset. 第38回代数的組合せ論シンポジウム報告集. 2023
渡邊 悠太. The generalized wreath product of triply-regular association scheme. 第35回代数的組合せ論シンポジウム報告集. 2019
Vertex Operator Algebras, Lattices and their Automorphism Groups
数学レクチャーノートシリーズ, 東北大学大学院理学研究科/東北大学大学院情報科学研究科 2016
講演・口頭発表等 (38件):
Terwilliger algebras of generalized wreath products of association schemes
(10th Slovenian conference on graph theory 2023)
Generalized wreath products of association schemes over a double poset
(第38回代数的組合せ論シンポジウム 2022)
一般化リース積のTerwilliger代数について
(組合せ論サマースクール2019 2019)
An algebra associated with projective geometry and its relation to the quantum affine algebra
(2019 Ural Workshop on Group Theory and Combinatorics 2019)
Terwilliger algebras of generalized wreath products of one-class association schemes
(The 17th Japan-Korea Workshop on Algebra and Combinatorics 2019)