Golden Jubilee Commemoration Volume, 1958-1959, Part 1Golden Jubilee Celebration Committee, 1959 - Mathematics |
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Page 189
... adjoint invariant . This algebraic problem can be simplified still further since instead of the full adjoint group it is sufficient to consider the linear , or infinite- simal , adjoint group , a second - order tensor a ( λ , μ ) in R ...
... adjoint invariant . This algebraic problem can be simplified still further since instead of the full adjoint group it is sufficient to consider the linear , or infinite- simal , adjoint group , a second - order tensor a ( λ , μ ) in R ...
Page 190
... adjoint invariant tensor for the algebra ( R , V , p ) . Then we can write g + { ( λ , a ) , ( μ , ß ) } = g ( λ , μ ) + f ( λ , ß ) + f ( μ , a ) + k ( a , ß ) where g , f , k are bilinear and g and k are symmetric . From ( 23 ) ...
... adjoint invariant tensor for the algebra ( R , V , p ) . Then we can write g + { ( λ , a ) , ( μ , ß ) } = g ( λ , μ ) + f ( λ , ß ) + f ( μ , a ) + k ( a , ß ) where g , f , k are bilinear and g and k are symmetric . From ( 23 ) ...
Page 191
... adjoint invariant tensor c ( λ , μ ) in any Lie algebra R is the Cartan tensor , given by c ( λ , μ ) = tr ( ŋŋμ ) where n is the adjoint representation R → Ra . In terms of components relative to a basis in R , Cij Cig Cp where Cijk ...
... adjoint invariant tensor c ( λ , μ ) in any Lie algebra R is the Cartan tensor , given by c ( λ , μ ) = tr ( ŋŋμ ) where n is the adjoint representation R → Ra . In terms of components relative to a basis in R , Cij Cig Cp where Cijk ...
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A₁ algebra avait avons B₁ boundary C₁ caractéristiques centre de gravité Charpit coefficients considéré constantes arbitraires coordinates corresponding d'intégration d'une Daher defined définition demiplan denote dérivées partielles determined deux differentiable manifold differential equations différentielles distancié donnée éléments équations aux dérivées espace être Euclidean Euclidean space Euler exists finite formules function générale geometry Hence homaloidal system II-geodesic curves integral intégrales intersects Kaehler manifold Killing tensor Kreisbogendreiecke l'aile l'équation l'espace l'intégrale l'on Lagrange Laguerre Lemma linéaire lines Math mathematics matrices méthode metric tensor metrisable moyenne nombre paramètres partielles du premier peut plaque polynomial premier ordre problem projective plane quadrics relaxation oscillations result S. N. Roy satisfied solution space suivante summable tangent teleparallelisms tensor Theorem theorem of consistency théorème theory transformation Typus valeur values variables vector x₁