In this paper, we investigate the semisimplicity of adjacency algebras of association schemes over positive characteristic fields. Our main result is that the Frame number characterizes semisimplicity of an adjacency algebra. In a sense, this is a generalization of Maschke's theorem
This article is a survey on representation theory of association schemes including recent developmen...
Every character of an association scheme can be considered as a faithful character of some quotient ...
Every character of an association scheme can be considered as a faithful character of some quotient ...
The concept of adjacency algebras of association schemes is a generalization of group algebras of fi...
We can define the adjacency algebra of an association scheme over an arbitrary field. It is not alwa...
Available online 16 November 2016A criterion is given for blocks of modular adjacency algebras of as...
The adjacency algebra of an association scheme is defined over an arbitrary field. In general, it is...
AbstractIn this paper we introduce and investigate the theory of Schur indices arising from simple c...
The well-known absolute bound condition for a primitive symmetric association scheme (X,S) gives an ...
We can define the adjacency algebra of an association scheme over an arbitrary field. It is not alwa...
AbstractThis article is a survey on representation theory of association schemes including recent de...
AbstractThis article is a survey on representation theory of association schemes including recent de...
First Online: 31 March 2016In this paper, we consider cyclotomic association schemes S = Cyc(p(a), d...
Abstract. In his 1996 work developing the theory of associa-tion schemes as a ‘generalized ’ group t...
First Online: 31 March 2016In this paper, we consider cyclotomic association schemes S = Cyc(p(a), d...
This article is a survey on representation theory of association schemes including recent developmen...
Every character of an association scheme can be considered as a faithful character of some quotient ...
Every character of an association scheme can be considered as a faithful character of some quotient ...
The concept of adjacency algebras of association schemes is a generalization of group algebras of fi...
We can define the adjacency algebra of an association scheme over an arbitrary field. It is not alwa...
Available online 16 November 2016A criterion is given for blocks of modular adjacency algebras of as...
The adjacency algebra of an association scheme is defined over an arbitrary field. In general, it is...
AbstractIn this paper we introduce and investigate the theory of Schur indices arising from simple c...
The well-known absolute bound condition for a primitive symmetric association scheme (X,S) gives an ...
We can define the adjacency algebra of an association scheme over an arbitrary field. It is not alwa...
AbstractThis article is a survey on representation theory of association schemes including recent de...
AbstractThis article is a survey on representation theory of association schemes including recent de...
First Online: 31 March 2016In this paper, we consider cyclotomic association schemes S = Cyc(p(a), d...
Abstract. In his 1996 work developing the theory of associa-tion schemes as a ‘generalized ’ group t...
First Online: 31 March 2016In this paper, we consider cyclotomic association schemes S = Cyc(p(a), d...
This article is a survey on representation theory of association schemes including recent developmen...
Every character of an association scheme can be considered as a faithful character of some quotient ...
Every character of an association scheme can be considered as a faithful character of some quotient ...
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