Emergence of the Theory of Lie Groups

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  • Emergence of the Theory of Lie Groups Book Detail

  • Author : Thomas Hawkins
  • Release Date : 2012-12-06
  • Publisher : Springer Science & Business Media
  • Genre : Mathematics
  • Pages : 578
  • ISBN 13 : 1461212022
  • File Size : 80,80 MB

Emergence of the Theory of Lie Groups by Thomas Hawkins PDF Summary

Book Description: The great Norwegian mathematician Sophus Lie developed the general theory of transformations in the 1870s, and the first part of the book properly focuses on his work. In the second part the central figure is Wilhelm Killing, who developed structure and classification of semisimple Lie algebras. The third part focuses on the developments of the representation of Lie algebras, in particular the work of Elie Cartan. The book concludes with the work of Hermann Weyl and his contemporaries on the structure and representation of Lie groups which serves to bring together much of the earlier work into a coherent theory while at the same time opening up significant avenues for further work.

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Emergence of the Theory of Lie Groups

Emergence of the Theory of Lie Groups

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The great Norwegian mathematician Sophus Lie developed the general theory of transformations in the 1870s, and the first part of the book properly focuses on hi

Theory of Lie Groups

Theory of Lie Groups

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This famous book was the first treatise on Lie groups in which a modern point of view was adopted systematically, namely, that a continuous group can be regarde