Terwilliger algebras and some related algebras defined by finite connected simple graphs
Akihide Hanaki, Masayoshi Yoshikawa
Discrete Mathematics, 346(9), 2023年09月, 査読有り
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Construction of rank 4 self-dual association schemes inducing three partial geometric designs
Akihide Hanaki
J. Combin. Des., 31(12), 691-700, 2023年
筆頭著者, 最終著者, 責任著者
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On a huge family of non-schurian Schur rings
A. Hanaki, T. Hirai, I. Ponomarenko
The Electronic Journal of Combinatorics, 29(2), 2022年04月22日, 査読有り
筆頭著者, 最終著者, 責任著者
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A construction of pairs of non-commutative rank 8 association schemes from non-symmetric rank 3 association schemes
Akihide Hanaki, and Masayoshi Yoshikawa
Algebraic Combinatorics, 4(3), 533-540, 2021年06月, 査読有り
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Modular Terwilliger Algebras of Association Schemes
Hanaki, Akihide;
GRAPHS AND COMBINATORICS, 2021年
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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, 2020年06月
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Frame numbers, splitting fields, and integral adjacency algebras of commutative association schemes
Hanaki, Akihide;
Archiv der Mathematik, 114(3), 259-263, 2020年03月
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Double centralizers of association schemes
Hanaki, Akihide;
Linear Algebra and its Applications, 564, 1-14, 2019年, 査読有り
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Tamaschke’s results on Schur rings and a generalization of association schemes
Akihide Hanaki
Journal of Mathematical Sciences, 234(2), 248-255, 2018年10月01日
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Indecomposability of modular standard modules of schurian association schemes and p-schemes
Hanaki, Akihide;
Archiv der Mathematik, 111(1), 43-46, 2018年07月
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Indecomposable decompositions of modular standard modules for two families of association schemes
Hanaki, Akihide; Shimabukuro, Osamu;
Journal of Algebraic Combinatorics, 46(2), 445-453, 2017年09月
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Simplicity of p-blocks of modular adjacency algebras of association schemes
Hanaki, Akihide;
Journal of Algebra, 474, 126-133, 2017年
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Modular representation theory of BIB designs
Hanaki, Akihide; Miyazaki, Yasuaki; Shimabukuro, Osamu;
Linear Algebra and its Applications, 514, 174-197, 2017年
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Modular adjacency algebras, standard representations, and p-ranks of cyclotomic association schemes
Hanaki, Akihide;
Journal of Algebraic Combinatorics, 44(3), 587-602, 2016年11月
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Zeta functions of adjacency algebras of association schemes of prime order or rank two
Hanaki, Akihide; Hirasaka, Mitsugu;
Hokkaido Mathematical Journal, 45(1), 75-91, 2016年02月
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Thin coherent configurations and groupoids
Hanaki, Akihide; Yoshikawa, Masayoshi;
Journal of Algebra and Its Applications, 14(1), 2015年02月
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On Imprimitive NonCommutative Association Schemes of Order 6
Akihide Hanaki, Paul-Hermann Zieschang
Communications in Algebra, 42(3), 1151-1199, 2014年, 査読有り
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Clifford theory for association schemes II
Hanaki, Akihide; Miyazaki, Yasuaki;
Journal of Algebra, 408, 109-114, 2014年
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Commutativity of association schemes of order pq
Akihide Hanaki, Mitsugu Hirasaka
East Asian Math. J., 29(1), 39-52, 2013年, 査読有り
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A construction of integral standard generalized table algebras from parameters of projective geometries
Yasutaka Asaba, Akihide Hanaki
Israel J. Math., 194(1), 395-408, 2013年, 査読有り
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Clifford type theorems for association schemes and their algebraic fusions
Akihide Hanaki
J. Algebra, 363, 1-7, 2012年08月01日, 査読有り
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Terwilliger algebras of direct and wreath products of association schemes
Akihide Hanaki, Kijung Kim, Yu Maekawa
J. Algebra, 343(1), 195-200, 2011年10月, 査読有り
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Faithful representations of association schemes
Akihide Hanaki
Proc. Amer. Math. Soc., 139(9), 3191- 3193, 2011年, 査読有り
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A category of association schemes
Akihide Hanaki
J. Combin. Theory Ser. A., 117, 1207-1217, 2010年, 査読有り
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A modular absolute bound condition for primitive association schemes
Akihide Hanaki, Ilia Ponomarenko
J. Algebraic Combin., 29, 447-456, 2009年, 査読有り
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Clifford theory for association schemes
Akihide Hanaki
J. Algebra, 321(6), 1686-1695, 2009年, 査読有り
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Representations of finite association schemes
Akihide Hanaki
European J. Combin., 30, 1477-1496, 2009年, 査読有り
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Representation of p'-valenced Schurian schemes
Akihide Hanaki, Yoshimasa Hieda
SUT J. Math., 44(2), 169-179, 2008年, 査読有り
Nilpotent schemes and group-like schemes
Akihide Hanaki
J. Combin. Theory Ser. A, 115(2), 226-236, 2008年, 査読有り
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Commutativity of association schemes of prime square order having non-trivial thin closed subsets
Akihide Hanaki, Mitsugu Hirasaka, Katsuhiro Uno
J. Algebraic Combin., 27(3), 307-316, 2008年, 査読有り
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Clifford theory for commutative association schemes
Akihide Hanaki
Disc. Math., 308, 2970-2975, 2008年, 査読有り
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Characters of association schemes containing a strongly normal closed subset of prime index
Akihide Hanaki
Proc. Amer. Math. Soc., 135(9), 2683-2687, 2007年, 査読有り
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Algebraic structure of association schemes of prime order
Akihide Hanaki, Katsuhiro Uno
J. Algebraic Combin., 23(2), 189-195, 2006年, 査読有り
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On modular standard modules of association schemes
Akihide Hanaki, Masayoshi Yoshikawa
J. Algebraic Combin., 21(3), 269-279, 2005年, 査読有り
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Character products of association schemes
Akihide Hanaki
J. Alg., 283(2), 596-603, 2005年, 査読有り
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Representations of association schemes and their factor schemes
Graphs Comb., 19(2), 195-201, 2003年, 査読有り
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Irreducible representations of wreath products of association schemes
Akihide Hanaki, Kaoru Hiritsuka
J. Algebraic Combin., 18(1), 47-52, 2003年, 査読有り
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Characters of association schemes and normal closed subsets
Graphs Comb., 19(3), 363-369, 2003年, 査読有り
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Classification of association schemes of small order
Akihide Hanaki, Izumi Miyamoto
Disc. Math., 264, 75-80, 2003年, 査読有り
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Theory of Hecke algebras to association schemes
Akihide Hanaki, Mitsugu Hirasaka
SUT J. Math., 38(1), 61-66, 2002年, 査読有り
Locality of a modular adjacency algebra of an association scheme of prime power order
Arch. Math., 79(3), 167-170, 2002年, 査読有り
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Skew-symmetric Hadamard matrices and association schemes
SUT J. Math., 36, 251-258, 2000年, 査読有り
Semisimplicity of adjacency algebras of association schemes
Hanaki, A
Journal of Algebra, 225(1), 124-129, 2000年, 査読有り
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Classification of primitive association schemes of order up to 22
AkihideHanaki, Izumi Miyamoto
Kyushu J. Math., 54, 81-86, 2000年, 査読有り
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Quantum Galois theory for finite groups
Akihide Hanaki, Masahiko Miyamoto, Daisuke Tambara
Duke Mathematical Journal, 97(3), 541-544, 1999年, 査読有り
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Classification of association schemes with 18 and 19 vertices
Akihide Hanaki, Izumi Miyamoto
Korean J. Comp. Appl. Math., 5, 543-551, 1998年, 査読有り
Classification of association schemes with 16 and 17 vertices
Akihide Hanaki, Izumi Miyamoto
Kyushu J. Math., 52, 383-395, 1998年, 査読有り
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Local subgroups and group algebras of finite p-solvable groups
Akihide Hanaki, Shigeo Koshitani
Alg. Rep. Th., 1, 155-159, 1998年, 査読有り
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Self dual groups of order p^5 (p an odd prime)
Osaka J. Math., 33, 357-361, 1997年, 査読有り
Groups with some combinatorial properties
Akihide Hanaki, Tetsuro Okuyama
Osaka J. Math., 33, 337-356, 1997年, 査読有り
A condition on length of conjugacy classes and character degrees
Osaka J. Math., 33, 207-216, 1996年, 査読有り
Generalized isoclinism and characters of finite groups
Indag. Math. N.S., 6, 411-418, 1995年, 査読有り
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A characterization of M_p-groups
Proc. Amer. Math. Soc., 121, 357-359, 1994年, 査読有り
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On minimal non M_p-groups
Arch. Math., 60, 316-320, 1993年, 査読有り
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A remark on M_p-groups
Akihide Hanaki, Akihiko Hida
Osaka J. Math., 29, 71-74, 1992年, 査読有り