6 citations · 13 across the 19 of their papers we have counts for
27 papers
Frobenius forms on weakly primitive axial algebras of Jordan type
Louis Rowen, Yoav Segev
In a previous paper we studied ``weakly primitive axial algebras'' with respect to more general fusion rules, for which at least one axis satisfies the fusion rules. In this contin…
Two axes in non-commutative algebras with a Frobenius form
Yoav Segev
Throughout this paper is a commutative non-associative algebra over a field of characteristic not In addition posses a Frobenius form. We obtain detailed…
Weakly primitive axial algebras
Louis Halle Rowen, Yoav Segev
In earlier work we studied the structure of primitive axial algebras of Jordan type (PAJ's), not necessarily commutative, in terms of their primitive axes. In this paper we weaken…
Primitive 4-generated axial algebras of Jordan type
Tom De Medts, Louis Rowen, Yoav Segev
We show that primitive 4-generated axial algebras of Jordan type are at most 81-dimensional.
Structure of primitive axial algebras
Louis Halle Rowen, Yoav Segev
"Fusion rules" are laws of multiplication among eigenspaces of an idempotent. This terminology is relatively new and is closely related to primitive axial algebras, introduced rece…
A uniform characterization of the octonions and the quaternions using commutators
Erwin Kleinfeld, Yoav Segev
Let be a ring with which is not commutative. Assume that a non-zero commutator in is not a zero divisor. Assume further that either is alternative, but not as…