Intrinsic Nilpotent Approximation.
MASSACHUSETTS INST OF TECH CAMBRIDGE LAB FOR INFORMATION AND DECISION SYSTEMS
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This report is a preliminary version of work on an intrinsic approximation process arising in the context of a non-isotropic perturbation theory for certain classes of linear differential and pseudodifferential operators P on a minifold M. A basic issue is that the structure of P itself determines the minimal information that the initial approximation must contain. This may vary from point to point, and requires corresponding approximate state spaces or phase spaces. This approximation process is most naturally viewed from a seemingly abstract algebraic context, namely the approximation of certain infinite dimensional filtered Lie algebras L by finite-dimensional graded nilpotent Lie algebras.
- Theoretical Mathematics