# L3: G2(2) GENERATOR ALGEBRA

**Category:** library_prompt | **Kernel:** PHAT v1.27.5 | **Status:** PENDING

## Prompt

G2(2) GENERATOR ALGEBRA
Using SymPy Lie algebra package, construct the 14 generators of G2(2) from the derivations of Os. Compute the Cartan matrix. Verify rank=2, dim=14. Compute the Killing form and confirm signature (8,6) for the non-compact form. Output structure constants. #SuperGrokTOE #G2Algebra #LieGroups