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Levstein, Fernando; Maldonado, C. D.; Penazzi, Daniel

doi:10.1016/j.ejc.2004.08.005

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Cited by 24 publications

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“…The Terwilliger C-algebras of many commutative schemes have been extensively studied (for example, see [2], [3], [9], [10], [11], [12], [14], [15], [16], [17]). However, the investigation of the Terwilliger F-algebras of schemes is almost completely open (see [6]).…”

Section: Introductionmentioning

confidence: 99%

On Terwilliger $${\mathbb {F}}$$-algebras of quasi-thin association schemes

Jiang

2023

J Algebr Comb

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The Terwilliger algebras of association schemes over an arbitrary field F were called the Terwilliger F-algebras of association schemes in [8]. In this paper, we study the Terwilliger F-algebras of factorial association schemes. We determine the F-dimensions, the centers, the semisimplicity, the Jacobson radicals, and the algebraic structures of the Terwilliger F-algebras of factorial association schemes.

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Section: Introductionmentioning

confidence: 99%

On Terwilliger $${\mathbb {F}}$$-algebras of quasi-thin association schemes

Jiang

2023

J Algebr Comb

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The Terwilliger algebras of the group association schemes of three metacyclic groups

Yang,

Zhang,

Feng

2024

J of Combinatorial Designs

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For any finite group , the Terwilliger algebra of the group association scheme satisfies the following inclusions: , where is a specific vector space and is the centralizer algebra of the permutation representation of induced by the action of conjugation. The group is said to be triply transitive if . In this paper, we determine the dimensions of and for being , and , and show that and are triply transitive. Additionally, we give a complete characterization of the Wedderburn components of the Terwilliger algebras of , and when they are triply transitive.

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The Generalized Terwilliger Algebra of the Hypercube

Nicholson

2024

Graphs and Combinatorics

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The Terwilliger algebra of a Hamming scheme H(d,q)

Cited by 24 publications

References 8 publications

On Terwilliger $${\mathbb {F}}$$-algebras of quasi-thin association schemes

On Terwilliger $${\mathbb {F}}$$-algebras of quasi-thin association schemes

The Terwilliger algebras of the group association schemes of three metacyclic groups

The Generalized Terwilliger Algebra of the Hypercube

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