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Writing Small Omegas: Elie Cartan's Contributions to the Theory of Continuous Groups 1894-1926

Writing Small Omegas: Elie Cartan's Contributions to the Theory of Continuous Groups 1894-1926

Paperback

Series: Studies in the History of Mathematical Inquiry

AlgebraGeneral Mathematics

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ISBN10: 0128142448
ISBN13: 9780128142448
Publisher: Academic Press
Published: Oct 24 2017
Pages: 304
Weight: 1.10
Height: 0.72 Width: 5.99 Depth: 9.07
Language: English

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critically examining Cartan's doctoral attempts to rigorously classify simple Lie algebras, including the use of many unpublished letters.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.

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