Noncommutative reality-based algebras of rank 6

DOI10.1080/00927872.2017.1355372zbMath1387.05273arXiv1608.08463OpenAlexW3098803447MaRDI QIDQ4640122

Allen Herman, Bangteng Xu, Mikhail E. Muzychuk

Publication date: 16 May 2018

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

Full work available at URL: https://arxiv.org/abs/1608.08463

zbMATH Keywords

association schemescharacter tablesreality-based algebrastable algebras

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Association schemes, strongly regular graphs (05E30) Associative rings and algebras arising under various constructions (16S99)

Related Items (7)

The search for small association schemes with noncyclotomic eigenvalues ⋮ Reality-based algebras with a two-dimensional representation ⋮ Orders of torsion units of integral reality-based algebras with rational multiplicities ⋮ Noncommutative standard table algebras with at most one nontrivial multiplicity ⋮ Tatra Schemes and Their Mergings ⋮ Schur indices for reality-based algebras with two nonreal basis elements ⋮ A survey of semisimple algebras in algebraic combinatorics

Cites Work

• Unnamed Item
• Unnamed Item
• Irreducible characters of wreath products in reality-based algebras and applications to association schemes.
• On wreath products of \(C\)-algebras, table algebras, and association schemes.
• Characters of table algebras and applications to association schemes
• Association schemes, fusion rings, C-algebras, and reality-based algebras where all nontrivial multiplicities are equal
• Table algebras
• Coherent algebras
• Three-class association schemes
• Semidirect products of association schemes
• Erratum: Quotient structures in \(C\)-algebras
• A construction of integral standard generalized table algebras from parameters of projective geometries
• Generalized table algebras
• The recognition problem for table algebras and reality-based algebras
• On the Normal Structure of NonCommutative Association Schemes of Rank 6
• Reality-Based Algebras, Generalized Camina-Frobenius Pairs, and the Nonexistence of Degree Maps
• On a Class of Non-commutative Imprimitive Association Schemes of Rank 6
• On table algebras, c-algebras, and applications to finite group theory^∗
• Table algebras with exactly one irreducible character whose degree and multiplicity are not equal
• Theory of Association Schemes
• On Imprimitive NonCommutative Association Schemes of Order 6
• On Noncommutative Integral Standard Generalized Table Algebras of Dimension 6
• Standard integral table algebras generated by a non-real element of small degree

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