List of Publications
- A. Hanaki, A. Hida,
A remark on Mp-groups,
Osaka J. Math. 29, 71--74 (1992),
LINK
- A. Hanaki,
On minimal non Mp-groups,
Arch. Math. 60, 316--320 (1993),
DOI:10.1007/BF01207184
- A. Hanaki,
A characterization of Mp-groups,
Proc. Amer. Math. Soc. 121, 357--359 (1994),
DOI:10.2307/2160408
- A. Hanaki,
Generalized isoclinism and characters of finite groups,
Indag. Math. (N.S.) 6, 411--418 (1995),
DOI:10.1016/0019-3577(96)81756-3
- A. Hanaki,
A condition of conjugacy classes and character degrees,
Osaka J. Math. 33, 207--216 (1996),
LINK
- A. Hanaki, T. Okuyama,
Groups with some combinatorial properties,
Osaka J. Math. 34, 337--356 (1997),
LINK
- A. Hanaki,
Self dual groups of order p5 (p an odd prime),
Osaka J. Math. 34, 357--361 (1997),
LINK
- A. Hanaki, I. Miyamoto,
Classification of association schemes with 16 and 17 vertices,
Kyushu J. Math. 52(2), 383--395 (1998),
DOI:10.2206/kyushujm.52.383
- A. Hanaki, I. Miyamoto,
Classification of association schemes with 18 and 19 vertices,
Korean J. Comput. Appl. Math. 5 (3), 543--551 (1998),
DOI:10.1007/BF03008881
LINK
- A. Hanaki, S. Koshitani,
Local subgroups and group algebras of finite p-solvable groups,
Algebr. Represent. Theory. 1, 155--159 (1998),
DOI:10.1023/A:1009937601589
- A. Hanaki, M. Miyamoto, D. Tambara,
Quantum Galois theory for finite groups,
Duke Math. J. 97 (3), 541--544 (1999),
DOI:10.1215/S0012-7094-99-09720-X
arXiv:q-alg/9709041
- A. Hanaki, I. Miyamoto,
Classification of primitive association schemes of order up to 22,
Kyushu J. Math. 54 (1), 81--86 (2000),
DOI:10.2206/kyushujm.54.81
- A. Hanaki,
Semisimplicity of adjacency algebras of association schemes,
J. Algebra. 225, 124--129 (2000),
DOI:10.1006/jabr.1999.8125
- A. Hanaki,
Skew-symmetric Hadamard matrices and association schemes,
SUT J. Math. 36 (2), 251--258 (2000),
LINK
- A. Hanaki, M. Hirasaka,
Theory of Hecke algebras to association schemes,
SUT J. Math. 38 (1), 61--66 (2002),
LINK
- A. Hanaki,
Locality of a modular adjacency algebra of an association scheme of prime power order,
Arch. Math. 79, 167--170 (2002),
DOI:10.1007/s00013-002-8300-7
- A. Hanaki, I. Miyamoto,
Classification of association schemes of small order,
Discrete. Math. 264, 75--80 (2003),
DOI:10.1016/S0012-365X(02)00551-4
- A. Hanaki,
Representations of association schemes and their factor schemes,
Graphs Combin. 19 (2), 195--201 (2003),
DOI:10.1007/s00373-002-0498-4
- A. Hanaki, K. Hirotsuka,
Irreducible representations of wreath products of association schemes,
J. Algebraic. Combin. 18 (1), 47--52 (2003),
DOI:10.1023/A:1025117409460
- A. Hanaki,
Characters of association schemes and normal closed subsets,
Graphs Combin. 19 (3), 363--369 (2003),
DOI:10.1007/s00373-002-0512-x
- A. Hanaki,
Character products of association schemes,
J. Algebra. 283 (2), 596--603 (2005),
DOI:10.1016/j.jalgebra.2004.10.009
- A. Hanaki, M. Yoshikawa,
On modular standard modules of association schemes,
J. Algebraic. Combin. 21 (3), 269--279 (2005),
DOI:10.1007/s10801-005-6911-3
- A. Hanaki, K. Uno,
Algebraic structure of association schemes of prime order,
J. Algebraic. Combin. 23 (2), 189--195 (2006),
DOI:10.1007/s10801-006-6923-7
- A. Hanaki,
Characters of association schemes containing a strongly normal closed subset of prime index,
Proc. Amer. Math. Soc. 135 (9), 2683--2687 (2007),
DOI:10.1090/S0002-9939-07-08835-1
- A. Hanaki,
Nilpotent schemes and group-like schemes, J. Combin. Theory Ser. A.
115, 226--236 (2008),
DOI:10.1016/j.jcta.2007.05.007
- A. Hanaki, M. Hirasaka, K. Uno,
Commutativity of association schemes of prime square order having non-trivial thin closed subsets,
J. Algebraic Combin. 27 (3), 307--316 (2008),
DOI:10.1007/s10801-007-0090-3
- A. Hanaki,
Clifford theory for commutative association schemes,
Discrete. Math. 308, 2970--2975 (2008),
DOI:10.1016/j.disc.2007.08.018
- A. Hanaki, Y. Hieda,
Representation of p'-valenced Schurian schemes,
SUT J. Math. 44 (2), 169--179 (2008),
LINK
- A. Hanaki,
Clifford theory for association schemes,
J. Algebra. 321 (6), 1686--1695 (2009),
DOI:10.1016/j.jalgebra.2009.01.006
- A. Hanaki, I. Ponomarenko,
A modular absolute bound condition for primitive association schemes,
J. Algebraic Combin. 29, 447--456 (2009),
DOI:10.1007/s10801-008-0145-0
arXiv:0710.0044
- A. Hanaki,
Representations of finite association schemes,
European J. Combin. 30, 1477--1496 (2009),
DOI:10.1016/j.ejc.2008.11.004
- A. Hanaki,
A category of association schemes,
J. Combin. Theory Ser. A. 117, 1207--1217 (2010),
DOI:10.1016/j.jcta.2009.10.004
- A. Hanaki,
Faithful representations of association schemes,
Proc. Amer. Math. Soc. 139 (9), 3191--3193 (2011),
DOI:10.1090/S0002-9939-2011-11026-8
- A. Hanaki, K. Kim, Y. Maekawa,
Terwilliger algebras of direct and wreath products of association schemes,
J. Algebra. 343 (1), 195--200 (2011),
DOI:10.1016/j.jalgebra.2011.05.035
- A. Hanaki,
Clifford type theorems for association schemes and their algebraic fusions,
J. Algebra. 363, 1--7 (2012),
DOI:10.1016/j.jalgebra.2012.04.021
- Y. Asaba, A. Hanaki,
A construction of integral standard generalized table algebras from parameters of projective geometries,
Israel J. Math. 194 (1) 395--408 (2013),
DOI:10.1007/s11856-012-0083-3
- A. Hanaki, M. Hirasaka,
Commutativity of association schemes of order pq,
East Asian Math. J. 29 (1), 39--52 (2013),
DOI:10.7858/eamj.2013.004
- A. Hanaki, P.-H. Zieschang,
On imprimitive noncommutative association schemes of order 6,
Comm. Algebra. 42 (3), 1151--1199 (2014),
DOI:10.1080/00927872.2012.735303
- A. Hanaki, Y. Miyazaki,
Clifford theory for association schemes II,
J. Algebra. 408, 109--114 (2014),
DOI:10.1016/j.jalgebra.2013.09.043
- A. Hanaki, M. Yoshikawa,
Thin coherent configurations and groupoids,
J. Algebra Appl. 14 (2), 1450074 (2015),
DOI:10.1142/S0219498814500741
- A. Hanaki, M. Hirasaka,
Zeta functions of adjacency algebras of association scemes of prime order or rank two,
Hokkaido Math. J. 45 (1), 75--91 (2016),
DOI:10.14492/hokmj/1470080749
- A. Hanaki,
Modular adjacency algebras, standard representations, and p-ranks of
cyclotomic association schemes,
J. Algebraic Combin. 44, 587--602 (2016),
DOI:10.1007/s10801-016-0681-y
- A. Hanaki, Y. Miyazaki, O. Shimabukuro,
Modular representation theory of BIB designs,
Linear Algebra Appl. 514, 174--197 (2017),
DOI:10.1016/j.laa.2016.10.030
- A. Hanaki,
Simplicity of p-blocks of modular adjacency algebras of association schemes,
J. Algebra. 474, 126--133 (2017),
DOI:10.1016/j.jalgebra.2016.11.012
- A. Hanaki, O. Shimabukuro,
Indecomposable decompositions of modular standard modules
for two families of association schemes,
J. Algebraic Combin. 46, 445--453 (2017),
DOI:10.1007/s10801-017-0758-2
- A. Hanaki,
Tamaschke's results on Schur rings and a generalization of association schemes,
Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 455 (2017),
Voprosy Teorii Predstavleni Algebr i Grupp. 31, 197--208,
LINK /
J. Math. Sci. 234 (2), 248--255 (2018),
DOI:10.1007/s10958-018-4000-0
- A. Hanaki,
Indecomposability of standard modules of schurian association schemes and p-schemes,
Arch. Math. 111 (1), 43--46 (2018),
DOI:10.1007/s00013-018-1166-0
- A. Hanaki,
Double centralizers of association schemes,
Linear Algebra Appl. 564 (1), 1--14 (2019),
DOI:10.1016/j.laa.2018.11.018
- A. Hanaki,
Frame numbers, splitting fields, and integral adjacency algebras of
commutative association schemes,
Arch. Math. 114 (3), 259--263 (2020),
DOI:10.1007/s00013-019-01389-4
- A. Hanaki, H. Kharaghani, A. Mohammadian, B. Tayfeh-Rezaie,
Classificatin of skew-Hadamard matrices of order 32 and association schemes of order 31,
J. Combin. Des. 28 (6), 421--427 (2020),
DOI:10.1002/jcd.21706
- A. Hanaki, M. Yoshikawa,
A construction of pairs of non-commutative rank 8
association schemes from non-symmetric rank 3 association schemes,
Algebr. Comb. 4 (3), 533--540 (2021),
DOI:10.5802/alco.167
arXiv:1911.09366
- A. Hanaki,
Modular Terwilliger algebras of association schemes,
Graphs Combin. 37 (5), 1521--1529 (2021),
DOI:10.1007/s00373-021-02363-0
arXiv:2004.09692
- A. Hanaki, T. Hirai, I. Ponomarenko,
On a huge family of non-schurian Schur rings,
Electron. J. Combin. 29 (2), P2.14 (2022),
DOI:10.37236/10696
arXiv:2109.01385
- A. Hanaki, M. Yoshikawa,
Terwilliger algebras and some related algebras defined by finite connected simple graphs,
Discrete. Math. 346 (9), (2023),
DOI:10.1016/j.disc.2023.113509
arXiv:2110.07109
- A. Hanaki,
Construction of rank 4 self-dual association schemes inducing
three partial geometric designs,
J. Combin. Des. 31 (12), 691--700 (2023)
DOI:10.1002/jcd.21917
arXiv:2306.02260
- A. Hanaki,
Weights on homogeneous coherent configurations,
arXiv:2406.06093
Miscellaneous
- A. Hanaki,
Monomial representations of finite groups,
Thesis, Chiba University, 1994,
DOI:10.11501/3075343
- A. Hanaki, P.-H. Zieschang,
Representation theory of non-commutative association schemes of order 6,
Oberwolfach Preprints 2010-07.
- J. Bamberg, A. Hanaki, and J. Lansdown,
AssociationSchemes -- AssociationSchemes:
A GAP package for working with association schemes
and homogeneous coherent configurations,
Version 2.0.0. (2022),
website
- A. Hanaki,
Classification of small association schemes, ver. 20200126,
https://doi.org/10.5281/zenodo.3627821
- A. Hanaki,
Non-symmetric class 2 association schemes obtained by doubling of skew-Hadamard matrices are non-schurian.
arXiv:2011.06141
- A. Hanaki,
A note on [D. G. Higman 1988 : Strongly regular designs and coherent configurations of type \([{3\atop {\;}}\;\;{2\atop 3}]\)].
arXiv:2102.10736