A survey of semisimple algebras in algebraic combinatorics
type: Item
instance of: scholarly article
title: A survey of semisimple algebras in algebraic combinatorics
zbMATH Open document ID: 1477.05190
author: Allen Herman
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 2022-01-07T00:00:00Z
full work available at URL: http://hdl.handle.net/10294/14449
Mathematics Subject Classification ID: 05E30
Mathematics Subject Classification ID: 05E10
Mathematics Subject Classification ID: 05E16
Mathematics Subject Classification ID: 11S45
Mathematics Subject Classification ID: 16G30
Mathematics Subject Classification ID: 16S99
Mathematics Subject Classification ID: 16U60
Mathematics Subject Classification ID: 20C10
Mathematics Subject Classification ID: 20C15
Mathematics Subject Classification ID: 20C20
zbMATH DE Number: 7453728
zbMATH Keywords: coherent algebras
zbMATH Keywords: coherent configurations
zbMATH Keywords: association schemes
zbMATH Keywords: adjacency algebras
zbMATH Keywords: Terwilliger algebras
zbMATH Keywords: table algebras
zbMATH Keywords: based rings
zbMATH Keywords: Schur rings
zbMATH Keywords: units
zbMATH Keywords: zeta functions
describes a project that uses: sage-drg
MaRDI profile type: Publication
OpenAlex ID: W3210762805
cites work: On table algebras, c-algebras, and applications to finite group theory∗
cites work: Generalized table algebras
cites work: There are only finitely many distance-regular graphs of fixed valency greater than two
cites work: Construction of association schemes from difference sets
cites work: Subschemes of some association schemes
cites work: Q3218140
cites work: Character tables of fission schemes and fusion schemes
cites work: Table algebras
cites work: Erratum: Quotient structures in \(C\)-algebras
cites work: Reality-Based Algebras, Generalized Camina-Frobenius Pairs, and the Nonexistence of Degree Maps
cites work: Q3992965
cites work: On the \(p\)-rank of the adjacency matrices of strongly regular graphs
cites work: Q5834711
cites work: Zeta functions of arithmetic orders and Solomon's conjectures
cites work: Functors from association schemes
cites work: A category of association schemes
cites work: Representations of finite association schemes
cites work: Locality of a modular adjacency algebra of an association scheme of prime power order
cites work: Semisimplicity of adjacency algebras of association schemes
cites work: Zeta functions of adjacency algebras of association schemes of prime order or rank two
cites work: Q4801435
cites work: Classification of association schemes of small order
cites work: Algebraic structure of association schemes of prime order
cites work: Schur indices for reality-based algebras with two nonreal basis elements
cites work: Zeta functions for tensor products of locally coprime integral adjacency algebras of association schemes
cites work: Noncommutative reality-based algebras of rank 6
cites work: The recognition problem for table algebras and reality-based algebras
cites work: Schur indices of association schemes
cites work: CENTRAL TORSION UNITS OF INTEGRAL REALITY-BASED ALGEBRAS WITH A POSITIVE DEGREE MAP
cites work: Coherent algebras
cites work: Tensor Categories
cites work: Corrections to my paper ''Zeta functions of integral group rings of metacyclic groups''
cites work: A non-Schurian coherent configuration on 14 points exists
cites work: TAMELY RAMIFIED EISENSTEIN FIELDS WITH PRIME POWER DISCRIMINANTS
cites work: The Block Theory of Finite Group Algebras
cites work: Q3804915
cites work: Zeta functions and integral representation theory
cites work: Commutative association schemes
cites work: Zeta functions of integral representations
cites work: Zeta functions of integral group rings of abelian (p,p)-groups
cites work: The subconstituent algebra of an association scheme. I
cites work: Using symbolic computation to prove nonexistence of distance-regular graphs
cites work: The subconstituent algebra of an association scheme. III
cites work: The Subconstituent Algebra of a Strongly Regular Graph
cites work: Wedge-direct sums of table algebras and applications to association schemes, I
cites work: Table algebras with central fusions
cites work: On maximal actions and \(w\)-maximal actions of finite hypergroups
cites work: Theory of Association Schemes

A survey of semisimple algebras in algebraic combinatorics (cites work)
cites work: An algebraic approach to association schemes

A survey of semisimple algebras in algebraic combinatorics (DOI)
DOI: 10.1007/S13226-021-00181-X