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Download Global integrability of field theories by Tucker R.W., Calmet J., Seiler W.M. PDF

By Tucker R.W., Calmet J., Seiler W.M.

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9). The point (c √− 1, V ) =√(( 5 − 3)/2, 1) corresponds to the point (c, y) = (c0 , y0) = (( 5 − 1)/2, ( 5 + 3)/2). In the sets F1 and F2 eigenvalues λ3 , λ4, λ5 , λ6 are complex: λ4 = −λ3 , ¯ 3, λ6 = −λ ¯ 3 ; in sets F3 and F4 two of them are real and another two λ5 = λ are pure imaginary. 2) has the automorphism t, P, q, R, Γ, γ2, ∆ → −t, P, −q, R, Γ, −γ2, ∆. 8). 4) to the diagonal form in sets F1 –F8. 8) to the form t, y1, y2 , y3, y4, y5, y6 → −t, y1 , y2, y4, y3, y6, y5 . 10) Theorem 5. 2) converges.

Kr ) = i1 <···

3. Given H a connected dga-Hopf algebra, it is possible to define a new algebraic object BCH as a differential graded module BC(H) = Λ ⊕ H 1,1 ⊕ (H 2,1 1,2 ⊕ H ) ⊕ ··· ⊕ H i,j ⊕ ··· i+j=k with the differentials dt, ds and dc induced in a natural way from BC(H) to BC(H). In the rest of the paper, given a dg-module M we will denote by BC(M) the tensor module {Mnp,q }p,q,n with the tensor differential induced on it. Analogously BC(M) is the differential graded module BC(M) = Λ ⊕ M 1,1 ⊕ (M 2,1 ⊕M 1,2 ) ⊕ ··· ⊕ M i,j ⊕ ··· i+j=k with the tensor differential induced.

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