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J-GLOBAL ID:201801020403992738   Update date: Sep. 11, 2020

Watanabe Yuta

ワタナベ ユウタ | Watanabe Yuta
Affiliation and department:
Job title: 講師
Research field  (1): Algebra
Research keywords  (1): Algebraic Combinatorics
Research theme for competitive and other funds  (1):
  • 2019 - 2022 Representation theory of quantum affine algebras and its applications in geometry and combinatorics
Papers (5):
  • 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 $U_q(\widehat{\mathfrak{sl } }_2). The Electronic Journal of Combinatorics 25(4), #P4.31. 2018
  • Yuta Watanabe. Association Schemes on the Schubert Cells of a Grassmannian. Graphs and Combinatorics. 2018. 34. 5. 1-9
  • Yuta Watanabe. An algebra associated with a subspace lattice over a finite field and its relation to the quantum affine algebra U-q((sl)over-cap(2)). JOURNAL OF ALGEBRA. 2017. 489. 475-505
  • Yuta Watanabe. An algebraic study of association schemes and its applications. Tohoku University. 2015
MISC (3):
  • 渡邊 悠太. The generalized wreath product of triply-regular association scheme. 第35回代数的組合せ論シンポジウム報告集. 2019
  • 渡邊 悠太. 部分空間束の結合代数の拡張と量子アファイン環$U_q(\widehat{\mathfrak{sl } }_2). 第33回代数的組合せ論シンポジウム報告集. 2016. 58-63
  • 渡邊 悠太. GrassmannグラフのTerwilliger代数について. 京都大学数理解析研究所講究録. 2015. 1965. 87-90
Books (1):
  • Vertex Operator Algebras, Lattices and their Automorphism Groups
    Mathematics Lecture Note Series, Graduate School of Science/Graduate School of Information Sciences Tohoku University 2016
Lectures and oral presentations  (36):
  • On the Terwilliger algebras of the generalized wreath product of association schemes
    (Combinatorics Summer School 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)
  • Combinatorial structure of the Schubert cells of a Grassmannian
    (The 23rd Kitakyushu Mathematical Sciences Seminar 2018)
  • A product of association schemes and its triply-regularity
    (Combinatorics Summer School 2018 2018)
more...
Professional career (1):
  • Doctor of Information Science (Tohoku University)
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