Affine Lie Algebras(Under Construction)
نویسنده
چکیده
• ei, fi. e1 = 1⊗ E1, e2 = 1⊗ E2; f1 = 1⊗ F1, f2 = 1⊗ F2. • e0, f0, h0. e0 = t⊗ [F1, F2] = t⊗ E31. f0 = t −1 ⊗ [E1, E2] = t−1 ⊗ E13. h0 = [e0, f0] = −1⊗ (H1 +H2) + c = −1⊗ (E11 + E33) + c • H. H = 1⊗H ⊕ Cc⊕ Cd. Note that c is just the central element c = h0 + h1 + h2. • Π. α1 = 1 = 2, α1(c) = α1(d) = 0 α2 = 1 = 2, α1(c) = α1(d) = 0 θ = α1 + α2 = 1 − 3, θ(c) = θ(d) = 0 δ : δ(1⊗H) = δ(c) = 0, δ(d) = 1. α0 = −θ + δ.
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