Torben Wiedemann

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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…

Symbolic computation in cubic Jordan matrix algebras and in related structures

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

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