Constructing a complex Lie algebra isomorphic to its complex conjugate but not definable over reals
Year: 2026
Type: preprint
Abstract: Following an idea of Demarche and using computer calculations of the authors and ideas of the LLM Claude Fable 5, we construct an explicit 10-dimensional complex two-step nilpotent Lie algebra that is isomorphic to its complex conjugate but cannot be defined over the field of real numbers R.
Source: arXiv (Cornell University)
Institution: Tel Aviv University
Language: English
Topic: Advanced Topics in Algebra
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7170131556