A survey of semisimple algebras in algebraic combinatorics

DOI10.1007/s13226-021-00181-xzbMath1477.05190OpenAlexW3210762805MaRDI QIDQ2065326

Allen Herman

Publication date: 7 January 2022

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10294/14449

zbMATH Keywords

unitsassociation schemeszeta functionsSchur ringsadjacency algebrascoherent configurationstable algebrasbased ringsTerwilliger algebrascoherent algebras

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Association schemes, strongly regular graphs (05E30) Representations of orders, lattices, algebras over commutative rings (16G30) Ordinary representations and characters (20C15) Modular representations and characters (20C20) Integral representations of finite groups (20C10) Units, groups of units (associative rings and algebras) (16U60) Algebras and orders, and their zeta functions (11S45) Associative rings and algebras arising under various constructions (16S99) Combinatorial aspects of groups and algebras (05E16)

Uses Software

• sage-drg

Cites Work

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• Zeta functions of integral representations
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• Tensor Categories
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• Table algebras with central fusions

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