Nonlinear Poisson Brackets

Released on by Mikhail Vladimirovich Karasev
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  • Nonlinear Poisson Brackets Book Detail

  • Author : Mikhail Vladimirovich Karasev
  • Release Date : 1993
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 384
  • ISBN 13 : 9780821845967
  • File Size : 56,56 MB
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Nonlinear Poisson Brackets by Mikhail Vladimirovich Karasev PDF Summary

Book Description: This book deals with two old mathematical problems. The first is the problem of constructing an analog of a Lie group for general nonlinear Poisson brackets. The second is the quantization problem for such brackets in the semiclassical approximation (which is the problem of exact quantization for the simplest classes of brackets). These problems are progressively coming to the fore in the modern theory of differential equations and quantum theory, since the approach based on constructions of algebras and Lie groups seems, in a certain sense, to be exhausted. The authors' main goal is to describe in detail the new objects that appear in the solution of these problems. Many ideas of algebra, modern differential geometry, algebraic topology, and operator theory are synthesized here. The authors prove all statements in detail, thus making the book accessible to graduate students.

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Nonlinear Poisson Brackets

Nonlinear Poisson Brackets

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This book deals with two old mathematical problems. The first is the problem of constructing an analog of a Lie group for general nonlinear Poisson brackets. Th

Nonlinear Poisson Brackets

Nonlinear Poisson Brackets

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This book deals with two old mathematical problems. The first is the problem of constructing an analog of a Lie group for general nonlinear Poisson brackets. Th

Nonlinear Poisson Brackets

Nonlinear Poisson Brackets

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A hierarchy of vector fields (master symmetries) and homogeneous nonlinear Poisson structures associated with the Toda lattice are constructed and the various c

Nonlinear Poisson Brackets

Nonlinear Poisson Brackets

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This book deals with two old mathematical problems. The first is the problem of constructing an analog of a Lie group for general nonlinear Poisson brackets. Th