Decomposition of products in nilpotent table algebras.

DOI10.1016/j.jalgebra.2009.09.035zbMath1215.20010OpenAlexW2092723993MaRDI QIDQ965170

Harvey I. Blau

Publication date: 21 April 2010

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2009.09.035

zbMATH Keywords

conjugacy classesassociation schemesfinite \(p\)-groupsirreducible charactersfusion rule algebrasnilpotent commutative table algebras

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Association schemes, strongly regular graphs (05E30) Ordinary representations and characters (20C15) Finite nilpotent groups, (p)-groups (20D15)

Related Items (4)

On association schemes with multiplicities 1 or a prime p ⋮ On thin residues and basis digraphs of nilpotent table algebras and applications to nilpotent groups. ⋮ On the characters of nilpotent association schemes ⋮ Nonvanishing Elements in Table Algebras

Cites Work

• Unnamed Item
• Quantum groups, quantum categories and quantum field theory
• Table algebras
• On table algebras and applications to finite group theory
• Sylow theory for table algebras, fusion rule algebras, and hypergroups.
• Products of characters and finite \(p\)-groups. II.
• Quotient structures in \(C\)-algebras
• An algebraic approach to association schemes
• Generalized table algebras
• Nilpotent fusion categories
• Nilpotent schemes and group-like schemes
• Conjugacy classes and finite \(p\)-groups.
• CHARACTERS OF PRIME DEGREE

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