Symmetric association schemes arising from abstract regular polytopes

DOI10.11575/cdm.v16i1.70710zbMath1458.05267OpenAlexW3161227694MaRDI QIDQ4986277

Allen Herman, Alyeah Alsairafi

Publication date: 27 April 2021

Full work available at URL: https://cdm.ucalgary.ca/article/view/70710

zbMATH Keywords

association schemesabstract regular polytopesstringc-groups

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Symmetry properties of polytopes (52B15)

Related Items (1)

String \(C\)-groups with real Schur index 2

Cites Work

• Realizations of abstract regular polytopes from a representation theoretic view
• Representations of finite association schemes
• Realizations of regular polytopes. II
• Realizations of regular abstract polyhedra of types \(\{3,6\}\) and \(\{6,3\}\)
• Realizations of regular toroidal maps of type \(\{4,4\}\)
• Classification of association schemes of small order
• Problems on polytopes, their groups, and realizations
• Abstract Regular Polytopes
• A Frobenius formula for the structure coefficients of double-class algebras of Gelfand pairs
• Theory of Association Schemes
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