Radicals in flip subalgebras

We develop methods for determining key properties (simplicity and the dimension of radical) of flip subalgebras in Matsuo algebras. These are interesting classes of commutative non-associative algebras that were introduced within the broader paradigm of axial algebras.

Publication Details

Journal
arXiv (Cornell University)
Published
2024-09-08
Primary Topic
Advanced Topics in Algebra
Type
article
Field-Weighted Citation Impact
0.00

Funders

Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Radicals in flip subalgebras

arXiv (Cornell University)
Advanced Topics in Algebra
article

Radicals in flip subalgebras

article en

Abstract

We develop methods for determining key properties (simplicity and the dimension of radical) of flip subalgebras in Matsuo algebras. These are interesting classes of commutative non-associative algebras that were introduced within the broader paradigm of axial algebras.

arXiv (Cornell University)
National Research Foundation
Reduced inequalities
Openalex Percentile: Top 36%
Advanced Topics in Algebra
Open Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Radicals in flip subalgebras · arXiv (Cornell University) (2024) | TGRS Research Map | TGRS