Description: Writing Small Omegas: Elie Cartan's Contributions to the Theory of Continuous Groups 1894-1926 provides a general account of Lie’s theory of finite continuous groups, critically examining Cartan’s doctoral attempts to rigorously classify simple Lie algebras, including the use of many unpublished letters. It evaluates pioneering attempts to generalize Lie's classical ideas to the infinite-dimensional case in the works of Lie, Engel, Medolaghi and Vessiot. Within this context, Cartan’s groundbreaking contributions in continuous group theory, particularly in his characteristic and unique recourse to exterior differential calculus, are introduced and discussed at length. The work concludes by discussing Cartan’s contributions to the structural theory of infinite continuous groups, his method of moving frames, and the genesis of his geometrical theory of Lie groups.
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EAN: 9780128142448
UPC: 9780128142448
ISBN: 9780128142448
MPN: N/A
Book Title: Writing Small Omegas: Elie Cartan's Contributions
Item Length: 22.9 cm
Item Height: 229 mm
Item Width: 152 mm
Author: Alberto Cogliati
Publication Name: Writing Small Omegas: Elie Cartan's Contributions to the Theory of Continuous Groups 1894-1926
Format: Paperback
Language: English
Publisher: Elsevier Science Publishing Co Inc
Subject: Mathematics
Publication Year: 2017
Type: Textbook
Item Weight: 450 g
Number of Pages: 304 Pages
