Table algebras with exactly one irreducible character whose degree and multiplicity are not equal

DOI10.1080/00927872.2017.1298775zbMath1378.20010OpenAlexW2609459378MaRDI QIDQ4594792

Bangteng Xu

Publication date: 24 November 2017

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

Full work available at URL: https://doi.org/10.1080/00927872.2017.1298775

zbMATH Keywords

wreath productsirreducible charactersmultiplicitiesdegreestable algebras

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Association schemes, strongly regular graphs (05E30) Ordinary representations and characters (20C15) Extensions, wreath products, and other compositions of groups (20E22)

Related Items (6)

Generalized wreath products of table algebras determined by their character tables and applications to association schemes ⋮ Noncommutative standard table algebras with at most one nontrivial multiplicity ⋮ Noncommutative reality-based algebras of rank 6 ⋮ Structures of commutative table algebras determined by their character tables and applications to finite groups ⋮ All-involution table algebras and finite projective spaces ⋮ Table algebras with central fusions

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