On p-schemes of order p3

JR Cho, M Hirasaka, K Kim - Journal of Algebra, 2012 - Elsevier
Let (X, S) be a p-scheme of order p3 and T the thin residue of S. Assuming that T has
valency p2, one of the following holds:(i)| T|= p2 and [Formula: see text];(ii)| T|= p2 and T≃ …

[HTML][HTML] Representations of finite association schemes

A Hanaki - European Journal of Combinatorics, 2009 - Elsevier
This article is a survey on representation theory of association schemes including recent
developments and some applications. A lot of known formulas on complex characters are …

On imprimitive noncommutative association schemes of order 6

A Hanaki, PH Zieschang - Communications in Algebra, 2014 - Taylor & Francis
The concept of an association scheme is a far-reaching generalization of the notion of a
group. Many group theoretic facts have found a natural generalization in scheme theory; cf …

Schur indices of association schemes

A Herman, AR Barghi - Journal of Pure and Applied Algebra, 2011 - Elsevier
Schur indices of association schemes Page 1 Journal of Pure and Applied Algebra 215 (2011)
1015–1023 Contents lists available at ScienceDirect Journal of Pure and Applied Algebra …

Characterization of p-schemes of prime cube order

K Kim - Journal of Algebra, 2011 - Elsevier
Characterization of p-schemes of prime cube order Page 1 Journal of Algebra 331 (2011) 1–10
Contents lists available at ScienceDirect Journal of Algebra www.elsevier.com/locate/jalgebra …

On p-covalenced association schemes

M Hirasaka, K Kim - Journal of Combinatorial Theory, Series A, 2011 - Elsevier
Let (X, S) denote an association scheme where X is a finite set. For a prime p we say that (X,
S) is p-covalenced (p-valenced) if every multiplicity (valency, respectively) of (X, S) is a …

[HTML][HTML] Clifford theory for association schemes II

A Hanaki, Y Miyazaki - Journal of Algebra, 2014 - Elsevier
Clifford theory for association schemes II - ScienceDirect Skip to main contentSkip to article
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Clifford type theorems for association schemes and their algebraic fusions

A Hanaki - Journal of Algebra, 2012 - Elsevier
We investigate the relationship between complex characters of association schemes and
their fusion schemes. We first prove Frobenius reciprocity between the irreducible …

[PDF][PDF] A construction of integral standard generalized table algebras from parameters of projective geometries

Y Asaba, A Hanaki - Israel Journal of Mathematics, 2013 - soar-ir.repo.nii.ac.jp
A CONSTRUCTION OF INTEGRAL STANDARD GENERALIZED TABLE ALGEBRAS FROM
PARAMETERS OF PROJECTIVE GEOMETRIES Page 1 ISRAEL JOURNAL OF …

Representation Theory of Non-Commutative Association Schemes of Order

A Hanaki, PH Zieschang - 2010 - publications.mfo.de
In this note, we investigate association schemes of order 6. We prove that non-normal
closed subsets of such schemes have order 2 and that normal closed subsets of non …