Moving Frames for Lie Pseudo–Groups
نویسندگان
چکیده
منابع مشابه
Recursive Moving Frames for Lie Pseudo-Groups
This paper introduces a new, fully recursive algorithm for computing moving frames and differential invariants of Lie pseudo-group actions. The recursive method avoids unwieldy symbolic expressions that complicate the treatment of large scale applications of the equivariant moving frame method. The development leads to novel results on partial moving frames, structure equations, and new differe...
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We propose a new, constructive theory of moving frames for Lie pseudo-group actions on submanifolds. The moving frame provides an effective means for determining complete systems of differential invariants and invariant differential forms, classifying their syzygies and recurrence relations, and solving equivalence and symmetry problems arising in a broad range of applications. Mathematics subj...
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Pre-Lie (or Vinberg) algebras arise from flat and torsion-free connections on differential manifolds. These algebras have been extensively studied in recent years, both from algebraic operadic points of view and through numerous applications in numerical analysis, control theory, stochastic differential equations and renormalization. Butcher series are formal power series founded on pre-Lie alg...
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ژورنال
عنوان ژورنال: Canadian Journal of Mathematics
سال: 2008
ISSN: 0008-414X,1496-4279
DOI: 10.4153/cjm-2008-057-0