Jari Desmet

activity

20242026

collaborators

4 papers

math.RA2026

Decompositions of Griess algebras beyond the OZ-setting

Jari Desmet, Louis Olyslager

To each VOA of strong CFT type, we associate a non-associative algebra which generalizes Griess algebras of One-Zero (OZ) VOAs. We compute the fusion law of Ising vectors in this a…

math.RA2026

Groups of type $E_{8}$ over rings via TKK-algebras and their extremal elements

Seidon Alsaody, Jari Desmet

Over any commutative ring containing $\frac{1}{6}$ , we study Lie algebras $L$ of type $E_{8}$ that arise from the Tits--Kantor--Koecher (TKK) construction on a Brown algebra, a…

math.RA2025

Automorphism groups of Matsuo algebras

Jari Desmet

In this paper, we determine the connected component of the automorphism group scheme of Matsuo algebras over fields of characteristic not $3$ .

math.RA2024

Solid lines in axial algebras of Jordan type $\frac{1}{2}$ and Jordan algebras

Jari Desmet

We show that a primitive axial algebra of Jordan type $I^\cdot = \frac{1}{2}$ is a Jordan algebra if and only if every $2$ -generated subalgebra is \emph{solid}, a notion introduced rece…

Decompositions of Griess algebras beyond the OZ-setting

Groups of type E8​ over rings via TKK-algebras and their extremal elements

Automorphism groups of Matsuo algebras

Solid lines in axial algebras of Jordan type 21​ and Jordan algebras

Groups of type $E_{8}$ over rings via TKK-algebras and their extremal elements

Solid lines in axial algebras of Jordan type $\frac{1}{2}$ and Jordan algebras