HANAKI, Akihide | Shinshu University Researcher Directory

Academic Organization	Academic Assembly　School of Science and Technology　Institute of Science	TEL
Education and Research Organization	Faculty of Science　Department of Mathematics　Course of Mathematical Sciences	FAX
Position	Professor	Mail Address	hanaki＠shinshu-u.ac.jp
Address		Web site	http://math.shinshu-u.ac.jp/~hanaki

Profile

Assigned Class: Graduate School, Division of Science and Technology
Interdisciplinary Graduate School of Science and Technology

Current Subject: Representations and characters of association schemes
Keywords:association scheme , representation , character , algebraic combinatorics
Classification of association schemes
Keywords:association scheme , algebraic combinatorics
Representations and characters of finite groups
Keywords:finite group , representation , character

Academic Background: Graduate School
Chiba University , (Graduate School, Division of National Science and Technology (except Gakushuin University, Konan University)) , 1994
Chiba University , (Graduate School, Division of Natural Science) , 1990

College
Chiba University , (Faculty of Science) , 1988

Degree
Doctor of Science , Chiba University

Research

Books, Articles, etc.: Articles
Terwilliger algebras and some related algebras defined by finite connected simple graphs
Discrete Mathematics,346(9) 2023(Sep.)
Author:Akihide Hanaki, Masayoshi Yoshikawa

On a huge family of non-schurian Schur rings
The Electronic Journal of Combinatorics,29(2) 2022(Apr. 22)
Author:A. Hanaki, T. Hirai, I. Ponomarenko

A construction of pairs of non-commutative rank 8 association schemes from non-symmetric rank 3 association schemes
Algebraic Combinatorics,4(3):533-540 2021
Author:Akihide Hanaki, and Masayoshi Yoshikawa

Modular Terwilliger Algebras of Association Schemes
GRAPHS AND COMBINATORICS 2021
Author:Hanaki, Akihide;
Keywords:Association scheme; Terwilliger algebra;

Classification of skew-Hadamard matrices of order 32 and association schemes of order 31
JOURNAL OF COMBINATORIAL DESIGNS,28(6):421-427 2020(Jun.)
Author:Hanaki, Akihide; Kharaghani, Hadi; Mohammadian, Ali; Tayfeh-Rezaie, Behruz;

Frame numbers, splitting fields, and integral adjacency algebras of commutative association schemes
ARCHIV DER MATHEMATIK,114(3):259-263 2020(Mar.)
Author:Hanaki, Akihide;

Double centralizers of association schemes
LINEAR ALGEBRA AND ITS APPLICATIONS,564:1-14 2019
Author:Hanaki, Akihide;

Tamaschke’s results on Schur rings and a generalization of association schemes
Journal of Mathematical Sciences,234(2):248-255 2018(Oct. 01)
Author:Akihide Hanaki

Indecomposability of modular standard modules of schurian association schemes and p-schemes
ARCHIV DER MATHEMATIK,111(1):43-46 2018(Jul.)
Author:Hanaki, Akihide;

Indecomposable decompositions of modular standard modules for two families of association schemes
JOURNAL OF ALGEBRAIC COMBINATORICS,46(2):445-453 2017(Sep.)
Author:Hanaki, Akihide; Shimabukuro, Osamu;

Modular representation theory of BIB designs
LINEAR ALGEBRA AND ITS APPLICATIONS,514:174-197 2017
Author:Hanaki, Akihide; Miyazaki, Yasuaki; Shimabukuro, Osamu;

Simplicity of p-blocks of modular adjacency algebras of association schemes
JOURNAL OF ALGEBRA,474:126-133 2017
Author:Hanaki, Akihide;

Modular adjacency algebras, standard representations, and p-ranks of cyclotomic association schemes
JOURNAL OF ALGEBRAIC COMBINATORICS,44(3):587-602 2016(Nov.)
Author:Hanaki, Akihide;

Zeta functions of adjacency algebras of association schemes of prime order or rank two
HOKKAIDO MATHEMATICAL JOURNAL,45(1):75-91 2016(Feb.)
Author:Hanaki, Akihide; Hirasaka, Mitsugu;

Thin coherent configurations and groupoids
JOURNAL OF ALGEBRA AND ITS APPLICATIONS,14(1) 2015(Feb.)
Author:Hanaki, Akihide; Yoshikawa, Masayoshi;

Clifford theory for association schemes II
JOURNAL OF ALGEBRA,408:109-114 2014
Author:Hanaki, Akihide; Miyazaki, Yasuaki;

On Imprimitive NonCommutative Association Schemes of Order 6
Communications in Algebra,42(3):1151-1199 2014
Author:Akihide Hanaki, Paul-Hermann Zieschang

Commutativity of association schemes of order pq
East Asian Math. J.,29(1):39-52 2013
Author:Akihide Hanaki, Mitsugu Hirasaka

A construction of integral standard generalized table algebras from parameters of projective geometries
Israel J. Math.,194(1):395-408 2013
Author:Yasutaka Asaba, Akihide Hanaki

Clifford type theorems for association schemes and their algebraic fusions
J. Algebra,363:1-7 2012(Aug. 01)
Author:Akihide Hanaki

Terwilliger algebras of direct and wreath products of association schemes
J. Algebra,343(1):195-200 2011(Oct.)
Author:Akihide Hanaki, Kijung Kim, Yu Maekawa

Faithful representations of association schemes
Proc. Amer. Math. Soc.,139(9):3191 - 3193 2011
Author:Akihide Hanaki

A category of association schemes
J. Combin. Theory Ser. A.,117:1207-1217 2010
Author:Akihide Hanaki

Representations of finite association schemes
European J. Combin.,30:1477-1496 2009
Author:Akihide Hanaki

Clifford theory for association schemes
J. Algebra,321(6):1686-1695 2009
Author:Akihide Hanaki

A modular absolute bound condition for primitive association schemes
J. Algebraic Combin.,29:447-456 2009
Author:Akihide Hanaki, Ilia Ponomarenko

Representation of p'-valenced Schurian schemes
SUT J. Math.,44(2):169-179 2008
Author:Akihide Hanaki, Yoshimasa Hieda

Clifford theory for commutative association schemes
Disc. Math.,308:2970-2975 2008
Author:Akihide Hanaki

Commutativity of association schemes of prime square order having non-trivial thin closed subsets
J. Algebraic Combin.,27(3):307-316 2008
Author:Akihide Hanaki, Mitsugu Hirasaka, Katsuhiro Uno

Nilpotent schemes and group-like schemes
J. Combin. Theory Ser. A,115(2):226-236 2008
Author:Akihide Hanaki

Characters of association schemes containing a strongly normal closed subset of prime index
Proc. Amer. Math. Soc.,135(9):2683-2687 2007
Author:Akihide Hanaki

Algebraic structure of association schemes of prime order
J. Algebraic Combin.,23(2):189-195 2006
Author:Akihide Hanaki, Katsuhiro Uno

On modular standard modules of association schemes
J. Algebraic Combin.,21(3):269-279 2005
Author:Akihide Hanaki, Masayoshi Yoshikawa

Character products of association schemes
J. Alg.,283(2):596-603 2005
Author:Akihide Hanaki

Characters of association schemes and normal closed subsets
Graphs Comb.,19(3):363-369 2003

Irreducible representations of wreath products of association schemes
J. Algebraic Combin.,18(1):47-52 2003
Author:Akihide Hanaki, Kaoru Hiritsuka

Representations of association schemes and their factor schemes
Graphs Comb.,19(2):195-201 2003

Classification of association schemes of small order
Disc. Math.,264:75-80 2003
Author:Akihide Hanaki, Izumi Miyamoto

Locality of a modular adjacency algebra of an association scheme of prime power order
Arch. Math.,79(3):167-170 2002

Theory of Hecke algebras to association schemes
SUT J. Math.,38(1):61-66 2002
Author:Akihide Hanaki, Mitsugu Hirasaka

Classification of primitive association schemes of order up to 22
Kyushu J. Math.,54:81-86 2000
Author:AkihideHanaki, Izumi Miyamoto

Semisimplicity of adjacency algebras of association schemes
JOURNAL OF ALGEBRA,225(1):124-129 2000
Author:Hanaki, A

Skew-symmetric Hadamard matrices and association schemes
SUT J. Math.,36:251-258 2000

Quantum Galois theory for finite groups
DUKE MATHEMATICAL JOURNAL,97(3):541-544 1999
Author:Akihide Hanaki, Masahiko Miyamoto, Daisuke Tambara

Classification of association schemes with 18 and 19 vertices
Korean J. Comp. Appl. Math.,5:543-551 1998
Author:Akihide Hanaki, Izumi Miyamoto

Local subgroups and group algebras of finite p-solvable groups
Alg. Rep. Th.,1:155-159 1998
Author:Akihide Hanaki, Shigeo Koshitani

Classification of association schemes with 16 and 17 vertices
Kyushu J. Math.,52:383-395 1998
Author:Akihide Hanaki, Izumi Miyamoto

Groups with some combinatorial properties
Osaka J. Math.,33:337-356 1997
Author:Akihide Hanaki, Tetsuro Okuyama

Self dual groups of order p^5 (p an odd prime)
Osaka J. Math.,33:357-361 1997

A condition on length of conjugacy classes and character degrees
Osaka J. Math.,33:207-216 1996

Generalized isoclinism and characters of finite groups
Indag. Math. N.S.,6:411-418 1995

A characterization of M_p-groups
Proc. Amer. Math. Soc.,121:357-359 1994

On minimal non M_p-groups
Arch. Math.,60:316-320 1993

A remark on M_p-groups
Osaka J. Math.,29:71-74 1992
Author:Akihide Hanaki, Akihiko Hida

Education

Lectures: 2011 , Introduction to Algebra
2011 , Set theory
2011 , 群論
2011 , 群論演習
2006 , Linear Algebras

Shinshu University Researcher Directory

HANAKI Akihide

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HANAKI　Akihide