Jari Desmet

activity

20222026

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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…

Decompositions of Griess algebras beyond the OZ-setting

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

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