Algorithmic construction of exceptional Lie algebras E₆, E₇, E₈ without Bourbaki tables.
- 240 roots of E₈ generated explicitly
- 8 simple roots found algorithmically
- Bourbaki mapping: [0, 1, 2, 3, 4, 6, 7, 5]
- E₇ and E₆ constructed as subsystems
- E₆: complete match 6/6 with Bourbaki dimensions
Published on Zenodo: 10.5281/zenodo.21268181