Torben Wiedemann

collaborators

4 papers

math.RA2026

Symbolic computation in cubic Jordan matrix algebras and in related structures

Torben Wiedemann

We present CubicJordanMatrixAlg, a GAP package for symbolic computation in cubic Jordan matrix algebras and in related Lie-theoretic structures. As an application, we use it to com…

math.RA2026

From cubic norm pairs to $G_{2}$ - and $F_{4}$ -graded groups and Lie algebras

Tom De Medts, Torben Wiedemann

We construct Lie algebras arising from cubic norm pairs over arbitrary commutative base rings. Such Lie algebras admit a grading by a root system of type $G_{2}$ , and when the cubic…

math.GR2024

Root graded groups of type $H_{3}$ and $H_{4}$

Lennart Berg, Torben Wiedemann

Using the well-known realisation of the root system $H_{4}$ as a folding of $E_{8}$ , one can construct examples of $H_{4}$ -graded groups from Chevalley groups of type $E_{8}$ . Such…

math.GR2024

Root Graded Groups

Torben Wiedemann

We define and study root graded groups, that is, groups graded by finite root systems. This notion generalises several existing concepts in the literature, including in particular…

Symbolic computation in cubic Jordan matrix algebras and in related structures

From cubic norm pairs to G2​- and F4​-graded groups and Lie algebras

Root graded groups of type H3​ and H4​

Root Graded Groups

From cubic norm pairs to $G_{2}$ - and $F_{4}$ -graded groups and Lie algebras

Root graded groups of type $H_{3}$ and $H_{4}$