A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is `application/pdf`

.

## Filters

##
###
Common properties of table algebras and association schemes

2008
*
Discrete Mathematics
*

This leads to the natural question which

doi:10.1016/j.disc.2007.08.014
fatcat:dhuop3ozmncezcczjpcdgbbvim
*properties**of**association**schemes*stay valid for*table**algebras*. ... In this paper we first give some definitions*and*facts about*table**algebras*. It is well known that every*association**scheme*gives a Hecke-*algebra*which is a*table**algebra*too. ... Hirasaka*and*the other organizers committee*of*the*Association**Schemes*, Codes*and*Designs which was held in the Pusan National University, for their hospitality*and*support. ...##
###
Page 3308 of Mathematical Reviews Vol. , Issue 2003e
[page]

2003
*
Mathematical Reviews
*

The concept

*of**table**algebra*was originated in [Z. Arad*and*H. I. Blau, J.*Algebra*138 (1991), no. 1, 137-185; MR 92f:20007] to study the*common**properties**of*the above three examples. ... Biinger, Standard integral*table**algebras*with a faithful real element*of*degree 5*and*width 3 (83-103); Mitsugu Hirasaka, The enumeration*of*primitive commutative*association**schemes*(105-123). ...##
###
Page 6057 of Mathematical Reviews Vol. , Issue 2000i
[page]

2000
*
Mathematical Reviews
*

*tables*

*of*

*association*

*schemes*. ... All the information

*of*an

*association*

*scheme*can be derived from its

*table*

*of*characters. ...

##
###
On amorphic C-algebras
[article]

2006
*
arXiv
*
pre-print

An amorphic

arXiv:math/0511129v2
fatcat:fa3kyk3qqfdt7do4m6exoqtwe4
*association**scheme*has the*property*that any*of*its fusion is also an*association**scheme*. ... In this paper we generalize the*property*to be amorphic to an arbitrary C-*algebra**and*prove that any amorphic C-*algebra*is determined up to isomorphism by the multiset*of*its degrees*and*an additional ... It would be interesting to describe the*properties**of*the group Aut(A) providing that the C-*algebra*A is homogeneous*and*amorphic. 4.3 We recall that a*table**algebra*is a C-*algebra*with nonnegative structure ...##
###
Algebraic generalization of Diffie–Hellman key exchange

2018
*
Journal of Mathematical Cryptology
*

In addition, we present a brief survey on the

doi:10.1515/jmc-2017-0015
fatcat:m4vlqk7etjaefi5xzsop5c4bzu
*algebraic**properties**of*existing key exchange*schemes**and*identify the source*of*commutativity*and*the family*of*underlying*algebraic*structures for each*scheme*...*Algebraically*, these*schemes*need to provide some sort*of*commutativity to enable Alice*and*Bob to derive a*common*key on a public channel while keeping it computationally difficult for the adversary to ... We have gathered the essentially different key exchange*schemes**and*their*algebraic**properties*into*Table*1 . ...##
###
Applications of the Isolating Fusion Algorithm to Table Algebras and Association Schemes
[article]

2022
*
arXiv
*
pre-print

groups;

arXiv:2205.01810v1
fatcat:36oovidze5g3bogiewdad5j3ca
*and*(3) producing examples*of*non-Schurian fusions*of*Schurian*association**schemes*whose adjacency matrices have noncyclotomic eigenvalues. ... We apply this algorithm to three problems: (1) computing the fusion lattices for small*association**schemes**of*a given order; (2) producing explicit realizations*of**association**schemes*with transitive automorphism ... Typical examples*of*based*algebras*are the group*algebras**of*finite groups, adjacency*algebras**of*finite*association**schemes*or coherent configurations,*table**algebras*, C-*algebras*,*and*reality-based*algebras*...##
###
On periodic approximate solutions of dynamical systems with a quadratic right-hand side
[article]

2021
*
arXiv
*
pre-print

The inheritance

arXiv:2104.14507v1
fatcat:gdzlzq6jfnbzxeyior5csszomu
*of*periodicity*and*the Painlevé*property*by the approximate solution is investigated. ... Difference*schemes*are considered for dynamical systems ẋ = f (x) with a quadratic right-hand side, which have t-symmetry*and*are reversible. ... Introduction At the end*of*the last century, a study*of*the inheritance*of**algebraic**properties**of*exact solutions*of*ordinary differential equations, including dynamical systems, by difference*schemes*...##
###
Page 2320 of Mathematical Reviews Vol. , Issue 2001D
[page]

2001
*
Mathematical Reviews
*

Later on connections to other topics (like

*association**schemes*) were discovered. The dual*of*a*table**algebra*is, in general, not a*table**algebra*. ... Nilpotency*property*in*table**algebras*. (English summary) J.*Algebra*226 (2000), no. 2, 875-879.*Table**algebras*were introduced in [Z. Arad*and*H. I. Blau, J. ...##
###
Butson-type complex Hadamard matrices and association schemes on Galois rings of characteristic 4

2018
*
Special Matrices
*

First, we give a characterization

doi:10.1515/spma-2018-0001
fatcat:wernscyxdbfp5iley7kzq7a3ve
*of*the eigenmatrix*of*a commutative nonsymmetric*association**scheme**of*class 3 whose Bose-Mesner*algebra*contains a nonsymmetric hermitian complex Hadamard matrix,*and*... We consider nonsymmetric hermitian complex Hadamard matrices belonging to the Bose-Mesner*algebra**of*commutative nonsymmetric*association**schemes*. ... Acknowledgement: The work*of*A.M. was supported by JSPS KAKENHI grant number 17K05155. References [1] E. Bannai, Subschemes*of*some*association**schemes*, J.*Algebra*144 (1991), 167-188. ...##
###
Computing Isomorphisms of Association Schemes and its Application

2001
*
Journal of symbolic computation
*

We give an algorithm computing isomorphisms

doi:10.1006/jsco.2001.0450
fatcat:ylck7gllxjaavjyvpwkcba2l2y
*of**association**schemes*using their*algebraic**property*. ... Isomorphisms*of**association**schemes*are isomorphisms*of*edge-labeled regular graphs permitting to permute the labels. ... We improved our program to speed up the computation*of*isomorphisms by using the*algebraic**property**of**association**schemes*. ...##
###
Monomials and polynomials: the long march towards a definition

2018
*
Teaching Mathematics and its Applications
*

Features

doi:10.1093/teamat/hry015
fatcat:mc6xocb7ebbwbagoedebpa5jqu
*of*these*schemes*are exemplified through the analysis*of*some*algebra*high school textbooks, looking at the proposed 'definitions'*of*monomials*and*polynomials. ... The process*of*pairing a name with representations or peculiar*properties*permeates many mathematics classroom situations. ... (IT1, p.3) 3 For*Algebraic*expression we found the widest variety*of*names*and**properties*involved in the definition*schemes*. ...##
###
A class of symmetric association schemes as inclusion of biplanes
[article]

2014
*
arXiv
*
pre-print

We proved that B includes a partially balanced incomplete design with

arXiv:1401.5441v1
fatcat:glomilsk3rgy5kjadgpxorzyre
*association**scheme**of*three classes. Consequently, these structures are symmetric, having 2k-6 points. ... Let B be a nontrivial biplane*of*order k-2 represented by symmetric canonical incidence matrix with trace 1+ k2. ... Acknowledgement Author is thankful to Professor Dragutin Svrtan form the University*of*Zagreb for advices on this subject, especially related to Lemma 1. ...##
###
Coherent configurations, association schemes and permutation groups
[chapter]

2003
*
Groups, Combinatorics and Geometry
*

This paper gives a brief outline

doi:10.1142/9789812564481_0004
fatcat:chafcop65rakfdtkhvk2ceoo5q
*of*the theory*of*coherent configurations*and**association**schemes*,*and*reports on some recent work on the connection between*association**schemes**and*permutation groups. ... The relationship between permutation groups*and**association**schemes*is quite subtle; there are groups which preserve no non-trivial*association**scheme*,*and*other groups for which there is not a unique ...*algebra**of*the*association**scheme*. ...##
###
Clifford theory for commutative association schemes

2008
*
Discrete Mathematics
*

In this paper, Clifford's well-known theorem on irreducible characters

doi:10.1016/j.disc.2007.08.018
fatcat:e3oznd5nmvd55foisffvoujbpe
*of*finite groups is generalized to finite commutative*association**schemes*. ... Our theorem relates irreducible characters*of*finite commutative*schemes*to those*of*their strongly normal closed subsets. ... Zieschang*and*anonymouse referees for many kind advices. ...##
###
Page 6212 of Mathematical Reviews Vol. , Issue 2001I
[page]

2001
*
Mathematical Reviews
*

They also possess many

*common*features*of**association**schemes*. ... (RS-AOSUR-A; Ekaterinburg) A*property**of*the character*table*for a finite group. (Russian. ...
« Previous

*Showing results 1 — 15 out of 72,349 results*