The Orbit Method in Geometry and Physics

Released on by Aleksandr Aleksandrovich Kirillov
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  • The Orbit Method in Geometry and Physics Book Detail

  • Author : Aleksandr Aleksandrovich Kirillov
  • Release Date : 2003
  • Publisher : Birkhauser
  • Genre : Mathematics
  • Pages : 496
  • ISBN 13 :
  • File Size : 62,62 MB
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The Orbit Method in Geometry and Physics by Aleksandr Aleksandrovich Kirillov PDF Summary

Book Description: The volume is dedicated to AA. Kirillov and emerged from an international con ference which was held in Luminy, Marseille, in December 2000, on the occasion 6 of Alexandre Alexandrovitch's 2 th birthday. The conference was devoted to the orbit method in representation theory, an important subject that influenced the de velopment of mathematics in the second half of the XXth century. Among the famous names related to this branch of mathematics, the name of AA Kirillov certainly holds a distinguished place, as the inventor and founder of the orbit method. The research articles in this volume are an outgrowth of the Kirillov Fest and they illustrate the most recent achievements in the orbit method and other areas closely related to the scientific interests of AA Kirillov. The orbit method has come to mean a method for obtaining the representations of Lie groups. It was successfully applied by Kirillov to obtain the unitary rep resentation theory of nilpotent Lie groups, and at the end of this famous 1962 paper, it was suggested that the method may be applicable to other Lie groups as well. Over the years, the orbit method has helped to link harmonic analysis (the theory of unitary representations of Lie groups) with differential geometry (the symplectic geometry of homogeneous spaces). This theory reinvigorated many classical domains of mathematics, such as representation theory, integrable sys tems, complex algebraic geometry. It is now a useful and powerful tool in all of these areas.

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The Orbit Method in Geometry and Physics

The Orbit Method in Geometry and Physics

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The volume is dedicated to AA. Kirillov and emerged from an international con ference which was held in Luminy, Marseille, in December 2000, on the occasion 6 o

The Orbit Method in Geometry and Physics

The Orbit Method in Geometry and Physics

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The orbit method influenced the development of several areas of mathematics in the second half of the 20th century and remains a useful and powerful tool in suc

The Orbit Method in Geometry and Physics

The Orbit Method in Geometry and Physics

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The orbit method influenced the development of several areas of mathematics in the second half of the 20th century and remains a useful and powerful tool in suc

Lectures on the Orbit Method

Lectures on the Orbit Method

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Describes the essence of the orbit method for non-experts and gives a detailed exposition of the method. This work can be used as a text for a graduate course,

Lectures on the Orbit Method

Lectures on the Orbit Method

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Isaac Newton encrypted his discoveries in analysis in the form of an anagram, which deciphers to the sentence ``It is worthwhile to solve differential equations