dualite, formes

3
ϕ∧ψ(p+q)!
p!q!ϕ⊗ψ
ϕ∈Λ∗
p(E)ψ∈Λ∗ q(E)ϕ∧ψ(−1)pqψ∧ϕ

E=R2n
b= Ωn
Ωn(x, y) =Pn
i=1(xn+iyi−xiyn+i)
x= (x1, ..., x2n), y = (y1, ..., y2n)
(e1, ..., e2n)R2n
(E, b)b
F b
orth(F) = {x∈E/∀y∈F, b(x, y)=0}b
orth(E) = {0}
Ωnn= 1,2
Ω1Ω2Ωn
Ωn
JnΩn=txJny x, y ∈R2n
W W ∗W
E=W×W∗Ω∀(x, y)∈W
∀α, β)∈W∗,Ω((y, β),(x, α)) = β(x)−α(y)
Ω