Fusion rings with few degrees.

DOI10.1016/j.jalgebra.2013.07.029zbMath1333.16021OpenAlexW2095225796MaRDI QIDQ405920

Harvey I. Blau

Publication date: 8 September 2014

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2013.07.029

zbMATH Keywords

finite groupsirreducible charactersfusion categoriestable algebrasdegree setsfusion rings

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Association schemes, strongly regular graphs (05E30) Ordinary representations and characters (20C15)

Related Items

Generalized wreath products of table algebras determined by their character tables and applications to association schemes ⋮ Wedge-direct sums of table algebras and applications to association schemes. II ⋮ Quotient structures, homomorphisms, and partial wreath products in reality-based algebras ⋮ On structures of quasi-thin table algebras and applications to association schemes ⋮ On \(p\)-standard table algebras of order \(p^3\). II ⋮ Real fusion rings with degrees 1 and 4 ⋮ On residually thin and nilpotent table algebras, fusion rings, and association schemes ⋮ Noncommutative standard table algebras with at most one nontrivial multiplicity ⋮ Wedge-direct sums of table algebras and applications to association schemes, I ⋮ Table bases as unions of proper closed subsets. ⋮ Wedge-direct sums of group algebras of finite groups ⋮ On finite symmetries and their gauging in two dimensions

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