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 作者：Henri Moscovici , Bahram Rangipour 来源：[J].Advances in Mathematics(IF 1.373), 2008, Vol.220 (3), pp.706-790Elsevier 摘要：Abstract(#br)We associate to each infinite primitive Lie pseudogroup a Hopf algebra of ‘transverse symmetries,’ by refining a procedure due to Connes and the first author in the case of the general pseudogroup. The affiliated Hopf algebra can be viewed as a ‘quantum grou...
 作者：Ian G. Lisle , Gregory J. Reid 来源：[J].Journal of Symbolic Computation(IF 0.391), 1998, Vol.26 (3), pp.355-379Elsevier 摘要：Abstract(#br)An algorithm is described which uses a finite number of differentiations and linear operations to determine the Cartan structure of a transitive Lie pseudogroup from its infinitesimal defining equations. In addition, an algorithm is presented for determining from the...
 作者：Gardner R.B. , Shadwick W.F. 来源：[J].1990, Vol.15 (1), pp.25-33Elsevier
 作者：Lazzarini Serge , Pommaret Jean-François 来源：[J].1992, Vol.10 (1), pp.47-91Elsevier
 作者：Gardner R.B. , Shadwick W.F. 来源：[J].1990, Vol.15 (1), pp.15-23Elsevier
 作者：J Muñoz , F.J Muriel , J Rodrı́guez 来源：[J].Journal of Mathematical Analysis and Applications(IF 1.05), 2000, Vol.252 (1), pp.32-49Elsevier 摘要：Abstract(#br)In this paper the theory of jets based on Weil's near points is applied to Lie equations and pseudogroups. Linear systems of partial differential equations are interpreted, in a canonical way, as distributions on the fibre bundles of invertible jets invariant under t...
 作者：Jean-Francois Pommaret 来源：[J].Journal of Modern Physics, 2013, Vol.04 (08), pp.223-239Scientific Research Publishing 摘要：The purpose of this paper is to present for the first time an elementary summary of a few recent results obtained through the application of the formal theory of partial differential equations and Lie pseudogroups in order to revisit the mathematical foundations of general rela...
 作者：Pierre Molino 来源：[J].tran(IF 1.019), 1976, Vol.224 (1), pp.189-192AMS 摘要：A transitive Lie pseudogroup ${\Gamma _M}$M is a primitive extension of ${\Gamma _N}$ ${\Gamma _N}$ ${\Gamma _M}$ $\pi :M \to N$ ${\Gamma _M}$ is primitive. In the present paper an example of this situation is given with the following property (counterexample to the primiti...
 作者：Niky Kamran , Thierry Robart 来源：[J].Comptes Rendus de l'Academie des Sciences Series I Mathematics, 2000, Vol.331 (11), pp.899-903Elsevier 摘要：Abstract(#br)We construct a local chart near the identity for analytic Lie pseudogroups of infinite type. The underlying manifold structure is modelled on an inductive limit of Banach spaces, endowed with the Silva differential calculus.(#br)Résumé(#br)Nous construisons une ca...