63 citations · 69 across the 3 of their papers we have counts for
6 papers
Code algebras, axial algebras and VOAs
Alonso Castillo-Ramirez, Justin McInroy, Felix Rehren
Inspired by code vertex operator algebras (VOAs) and their representation theory, we define code algebras, a new class of commutative non-associative algebras constructed from bina…
Generalised dihedral subalgebras from the Monster
Felix Rehren
The conjugacy classes of the Monster which occur in the McKay observation correspond to the isomorphism types of certain 2-generated subalgebras of the Griess algebra. Sakuma, Ivan…
Linear idempotents in Matsuo algebras
Felix Rehren
Matsuo algebras are an algebraic incarnation of 3-transposition groups with a parameter , where idempotents takes the role of the transpositions. We show that a large class of i…
Jordan algebras and 3-transposition groups
Tom De Medts, Felix Rehren
An idempotent in a Jordan algebra induces a Peirce decomposition of the algebra into subspaces whose pairwise multiplication satisfies certain fusion rules . On the…
Fusion rules from root systems I: case
Felix Rehren
Axial algebras are commutative algebras generated by idempotents; they generalise associative algebras by allowing the idempotents to have additional eigenvectors, controlled by fu…
Universal Axial Algebras and a Theorem of Sakuma
J. I. Hall, F. Rehren, S. Shpectorov
In the first half of this paper, we define axial algebras: nonassociative commutative algebras generated by axes, that is, semisimple idempotents---the prototypical example of whic…