3 papers
math.GR2025
Categorification of characteristic structures
Peter A. Brooksbank, Heiko Dietrich, Joshua Maglione +2
We develop a representation theory of categories as a means to explore characteristic structures in algebra. Characteristic structures play a critical role in isomorphism testing o…
math.RA2024
A computational approach to almost-inner derivations
Heiko Dietrich, Willem A. de Graaf
We present a computational approach to determine the space of almost-inner derivations of a finite dimensional Lie algebra given by a structure constant table. We also present an e…
math.RT2014
Regular subalgebras and nilpotent orbits of real graded Lie algebras
H. Dietrich, Paolo Faccin, Willem A. de Graaf
For a semisimple Lie algebra over the complex numbers, Dynkin (1952) developed an algorithm to classify the regular semisimple subalgebras, up to conjugacy by the inner automorphis…