2 papers
math.RA2026
Constructing a complex Lie algebra isomorphic to its complex conjugate but not definable over reals
Mikhail Borovoi, Willem A. de Graaf, Robert M. Guralnick
Following an idea of Demarche and using computer calculations of the authors and ideas of LLM Claude Fable, we construct an explicit 10-dimensional complex two-step nilpotent Lie a…
math.RT2024
Computing component groups of stabilizers of nilpotent orbit representatives
Emanuele Di Bella, Willem A. De Graaf
The theory of nilpotent orbits of simple Lie algebras has seen tremendous developments over the past decades. In this context an important role is played by the component group of…