Frobenius, Cartan, and the problem of Pfaff

DOI10.1007/s00407-004-0095-4zbMath1078.01013OpenAlexW2008491609MaRDI QIDQ1781899

Thomas Hawkins

Publication date: 9 June 2005

Published in: Archive for History of Exact Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00407-004-0095-4

Mathematics Subject Classification ID

History of mathematics in the 19th century (01A55) History of partial differential equations (35-03)

Related Items (12)

Reviews ⋮ Historical and critical review of the development of nonholonomic mechanics: the classical period ⋮ Maurice Janet's algorithms on systems of linear partial differential equations ⋮ An exterior differential characterization of single-input local transverse feedback linearization ⋮ Moduli of distributions via singular schemes ⋮ A decision method for the integrability of differential-algebraic Pfaffian systems ⋮ Singular foliations through diffeology ⋮ Generalizations and challenges for the spacetime block-diagonalization ⋮ On the equation \((Du)^tHDu=G\) ⋮ Frobenius and the symbolical algebra of matrices ⋮ On the genesis of the Cartan-Kähler theory ⋮ Continued fractions and the origins of the Perron-Frobenius theorem

Cites Work

• Differential forms -- Cartan to De Rham
• Non-euclidean geometry and Weierstrassian mathematics: The background to Killing's work on Lie algebras
• The history of differential forms from Clairaut to Poincaré
• Jacobi and the birth of Lie's theory of groups
• Weierstraß and the theory of matrices
• New light on Frobenius' creation of the theory of group characters
• Emergence of the theory of Lie groups. An essay in the history of mathematics 1869--1926
• The origin of the theory of group characters
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