Yoav Segev

collaborators

3 papers

math.RA2021

Primitive axial algebras are of Jordan type

Louis Rowen, Yoav Segev

The notion of axial algebra is closely related to $3$ -transposition groups, the Monster group and vertex operator algebras. In this work we continue our previous works and compete…

math.RA2021

A characterization of the quaternions using commutators

Erwin Kleinfeld, Yoav Segev

Let $R$ be an associative ring with $1$ which is not commutative. Assume that any non-zero commutator $v \in R$ satisfies: $v^{2}$ is in the center of $R$ and $v$ is not a zero-…

math.GR2016

Miyamoto involutions in axial algebras of Jordan type half

J. I. Hall, Y. Segev, S. Shpectorov

Nonassociative commutative algebras $A$ generated by idempotents $e$ whose adjoint operators $ad_{e} : A \to A$ , given by $x \mapsto x e$ , are diagonalizable and hav…