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Primitive 4-generated axial algebras of Jordan type

Tom De Medts, Louis Rowen, Yoav Segev

Abstract

We show that primitive 4-generated axial algebras of Jordan type are at most 81-dimensional.

Primitive 4-generated axial algebras of Jordan type

Abstract

We show that primitive 4-generated axial algebras of Jordan type are at most 81-dimensional.
Paper Structure (5 sections, 15 theorems, 37 equations, 1 table)

This paper contains 5 sections, 15 theorems, 37 equations, 1 table.

Table of Contents

  1. Introduction
  2. Primitive axial algebras of Jordan type
  3. Method
  4. Rewriting rules
  5. $4$-generated primitive axial algebras of Jordan type

Key Result

Proposition 2.7

Let $(G,D)$ be a $3$-transposition group. The following are equivalent:

Theorems & Definitions (42)

  • Definition 2.1
  • Definition 2.2
  • Definition 2.3
  • Example 2.4
  • Example 2.5
  • Definition 2.6
  • Proposition 2.7
  • proof
  • Corollary 2.8
  • proof
  • ...and 32 more