ENGLISH

Emergence of the Theory of Lie Groups: An Essay in the History of Mathematics 1869–1926 (Sources and Studies in the History of Mathematics and Physical Sciences)

By Thomas Hawkins

Book information

Publisher
Springer
Year
2000
ISBN
1461270421, 9781461270423
Language
english
Format
DJVU
Filesize
20 MB (20904848 bytes)
Pages
579\577
DPI
600
Time added
2023-07-31 05:06:43

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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