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Formalising Lie algebras

Talkat CPP 2022 · 2022-01-17..01-18
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Formalises finite‑dimensional Lie algebra theory in Lean + Mathlib, builds the classical families and the five exceptional algebras by constructing a free non‑unital non‑associative algebra then quotienting by Serre relations, and encodes E8 from an explicit Serre matrix construction. States the classification of semisimple Lie algebras over an algebraically closed field of characteristic zero, adds a reusable algebra hierarchy, and reports roughly 5–10 hours of graduate‑course content already formalised.

AI-written summary · about

  1. 0:00Start
  2. 0:20Mathematical Unity
  3. 4:08Jacobi Identity
  4. 5:24Elementary Particles
  5. 7:06Defining an Automorphic Form
  6. 7:23Why Should the Formal Mathematician Care
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