Modules over axial algebras

DOI10.1007/s10468-018-9844-yzbMath1472.17091arXiv1704.06111OpenAlexW3102104868WikidataQ128707955 ScholiaQ128707955MaRDI QIDQ2301674

Michiel Van Couwenberghe, Tom De Medts

Publication date: 25 February 2020

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.06111

zbMATH Keywords

modules3-transposition groupsaxial algebrasFischer spacesMatsuo algebrasaxial representations

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Vertex operators; vertex operator algebras and related structures (17B69) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Representations of groups as automorphism groups of algebraic systems (20F29) Representations of sporadic groups (20C34)

Related Items (3)

Decomposition algebras and axial algebras ⋮ A class of continuous non-associative algebras arising from algebraic groups including ⋮ Code algebras which are axial algebras and their \(\mathbb{Z}_2\)-gradings

Cites Work

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• Universal axial algebras and a theorem of Sakuma
• Majorana representations of the symmetric group of degree 4.
• On R. Griess' Friendly giant
• The friendly giant
• Miyamoto involutions in axial algebras of Jordan type half
• Primitive axial algebras of Jordan type
• A characterization of the full wreath product.
• Vertex algebras, Kac-Moody algebras, and the Monster

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