Akihide HANAKI - My portal

Profile Information

Affiliation: Professor, Faculty of Science　Department of Mathematics　Course of Mathematical Sciences, Shinshu University

J-GLOBAL ID: 200901063998349842
researchmap Member ID: 1000193177

External link: http://math.shinshu-u.ac.jp/~hanaki

Research Interests

Research Areas

Research History

Apr, 2009 - Present

Professor, Faculty of Science, Shinshu University
Apr, 2007 - Mar, 2009

Associate Professor, Faculty of Science, Shinshu University
Apr, 2000 - Mar, 2007

Assistant Professor, Faculty of Science, Shinshu University
Apr, 1998 - Mar, 2000

Lecturer, Faculty of Science, Shinshu University
Jul, 1994 - Mar, 1998

Assistant, Faculty of Engineering, University of Yamanashi

Education

Apr, 1994 - Jun, 1994

Department of Mathematics, Faculty of Science, Chiba University
Apr, 1990 - Mar, 1994

Department of Mathematics, Gaduate School of Natural Science, Chiba University
Apr, 1988 - Mar, 1990

Department of Mathematics, Gaduate School of Science, Chiba University
Apr, 1984 - Mar, 1988

Department of Mathematics, Faculty of Science, Chiba University

Papers

Modular Terwilliger Algebras of Association Schemes

Hanaki, Akihide

GRAPHS AND COMBINATORICS, 2021
Classification of skew-Hadamard matrices of order 32 and association schemes of order 31

Hanaki, Akihide, Kharaghani, Hadi, Mohammadian, Ali, Tayfeh-Rezaie, Behruz

JOURNAL OF COMBINATORIAL DESIGNS, 28(6) 421-427, Jun, 2020
Frame numbers, splitting fields, and integral adjacency algebras of commutative association schemes

Hanaki, Akihide

ARCHIV DER MATHEMATIK, 114(3) 259-263, Mar, 2020
Double centralizers of association schemes

Hanaki, Akihide

LINEAR ALGEBRA AND ITS APPLICATIONS, 564 1-14, 2019 Peer-reviewed
Tamaschke’s results on Schur rings and a generalization of association schemes

Hanaki, Akihide

Journal of Mathematical Sciences, 234(2) 248-255, Oct, 2018 Peer-reviewed
Indecomposability of modular standard modules of schurian association schemes and p -schemes

Akihide Hanaki

Archiv der Mathematik, 111(1) 43-46, Jul 1, 2018 Peer-reviewed
Indecomposable decompositions of modular standard modules for two families of association schemes

Akihide Hanaki, Osamu Shimabukuro

JOURNAL OF ALGEBRAIC COMBINATORICS, 46(2) 445-453, Sep, 2017 Peer-reviewed
Simplicity of p-blocks of modular adjacency algebras of association schemes

Akihide Hanaki

JOURNAL OF ALGEBRA, 474 126-133, Mar, 2017 Peer-reviewed
Modular representation theory of BIB designs

Akihide Hanaki, Yasuaki Miyazaki, Osamu Shimabukuro

LINEAR ALGEBRA AND ITS APPLICATIONS, 514 174-197, Feb, 2017 Peer-reviewed
Modular adjacency algebras, standard representations, and p-ranks of cyclotomic association schemes

Akihide Hanaki

JOURNAL OF ALGEBRAIC COMBINATORICS, 44(3) 587-602, Nov, 2016 Peer-reviewed
Zeta functions of adjacency algebras of association schemes of prime order or rank two

Akihide Hanaki, Mitsugu Hirasaka

HOKKAIDO MATHEMATICAL JOURNAL, 45(1) 75-91, Feb, 2016 Peer-reviewed
Thin coherent configurations and groupoids

Akihide Hanaki, Masayoshi Yoshikawa

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 14(1) -, Feb, 2015 Peer-reviewed
Clifford theory for association schemes II

Akihide Hanaki, Yasuaki Miyazaki

JOURNAL OF ALGEBRA, 408 109-114, Jun, 2014 Peer-reviewed
ON IMPRIMITIVE NONCOMMUTATIVE ASSOCIATION SCHEMES OF ORDER 6

Akihide Hanaki, Paul-Hermann Zieschang

COMMUNICATIONS IN ALGEBRA, 42(3) 1151-1199, Mar, 2014 Peer-reviewed
A construction of integral standard generalized table algebras from parameters of projective geometries

Yasutaka Asaba, Akihide Hanaki

ISRAEL JOURNAL OF MATHEMATICS, 194(1) 395-408, Mar, 2013 Peer-reviewed
Commutativity of association schemes of order pq

Akihide Hanaki, Mitsugu Hirasaka

East Asian Math. J., 29(1) 39-52, 2013 Peer-reviewed
Clifford type theorems for association schemes and their algebraic fusions

Akihide Hanaki

JOURNAL OF ALGEBRA, 363 1-7, Aug, 2012 Peer-reviewed
Terwilliger algebras of direct and wreath products of association schemes

Akihide Hanaki, Kijung Kim, Yu Maekawa

JOURNAL OF ALGEBRA, 343(1) 195-200, Oct, 2011 Peer-reviewed
FAITHFUL REPRESENTATIONS OF ASSOCIATION SCHEMES

Akihide Hanaki

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 139(9) 3191-3193, Sep, 2011 Peer-reviewed
A category of association schemes

Akihide Hanaki

JOURNAL OF COMBINATORIAL THEORY SERIES A, 117(8) 1207-1217, Nov, 2010 Peer-reviewed

Teaching Experience

Set Theory (Shinshu University)
Linear Algebra (Shinshu University)
Field Theory (Shinshu University)
Ring Theory (Shinshu University)
Group Theory (Shinshu University)
Introduction to Algebra (Shinshu University)
集合論 (信州大学)
微分積分学 (信州大学)
線形代数学 (信州大学)
体論 (信州大学)
環論 (信州大学)
群論 (信州大学)
代数入門 (信州大学)

Professional Memberships

The Mathematical Society of Japan

Research Projects

アソシエーション・スキームのモジュラー表現と標準加群の研究

科学研究費補助金(基盤研究 (C)), 日本学術振興会, Apr, 2017 - Mar, 2022

花木章秀
アソシエーション・スキームの表現の研究

科学研究費補助金(基盤研究 (C)), 日本学術振興会, Apr, 2013 - Mar, 2017

花木章秀
アソシエーション・スキームの表現と圏の研究

科学研究費補助金(基盤研究 (C)), 日本学術振興会, Apr, 2009 - Mar, 2013

花木章秀
アソシエーションスキームの表現の研究

科学研究費補助金(基盤研究 (C)), 日本学術振興会, Apr, 2004 - Mar, 2008

花木章秀
アソシエーションスキームの表現に関する研究

科学研究費補助金(奨励研究 (A)), 日本学術振興会, Apr, 2001 - Mar, 2003

花木章秀
体上で同型な群環をもつ有限群に関する研究

科学研究費補助金(奨励研究 (A)), 日本学術振興会, Apr, 1998 - Mar, 2000

花木章秀
Representations and characters of finite groups
Classification of association schemes
Representations and characters of association schemes