Writing small omegas: Élie 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 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...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
London
Academic Press, an imprint of Elsevier
[2018]
|
| Schriftenreihe: | Studies in the history of mathematical enquiry
|
| Schlagworte: | |
| Online-Zugang: | FAW01 Volltext |
| Zusammenfassung: | 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critically examining Cartan's doctoral attempts to rigorously classify simple Lie algebras, including the use of many unpublished letters.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 |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | 1 online resource |
| ISBN: | 9780128142745 012814274X |
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Datensatz im Suchindex
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| author | Cogliati, Alberto |
| author_facet | Cogliati, Alberto |
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| dewey-ones | 512 - Algebra |
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| discipline | Mathematik |
| format | Electronic eBook |
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| isbn | 9780128142745 012814274X |
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| series2 | Studies in the history of mathematical enquiry |
| spelling | Cogliati, Alberto Verfasser aut Writing small omegas Élie Cartan's contributions to the theory of continuous groups, 1894-1926 Alberto Cogliati London Academic Press, an imprint of Elsevier [2018] © 2018 1 online resource txt rdacontent c rdamedia cr rdacarrier Studies in the history of mathematical enquiry Includes bibliographical references and index 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 MATHEMATICS / Algebra / Intermediate bisacsh Continuous groups fast Continuous groups Erscheint auch als Druck-Ausgabe 9780128142448 https://www.sciencedirect.com/science/book/9780128142448 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Cogliati, Alberto Writing small omegas Élie Cartan's contributions to the theory of continuous groups, 1894-1926 MATHEMATICS / Algebra / Intermediate bisacsh Continuous groups fast Continuous groups |
| title | Writing small omegas Élie Cartan's contributions to the theory of continuous groups, 1894-1926 |
| title_auth | Writing small omegas Élie Cartan's contributions to the theory of continuous groups, 1894-1926 |
| title_exact_search | Writing small omegas Élie Cartan's contributions to the theory of continuous groups, 1894-1926 |
| title_full | Writing small omegas Élie Cartan's contributions to the theory of continuous groups, 1894-1926 Alberto Cogliati |
| title_fullStr | Writing small omegas Élie Cartan's contributions to the theory of continuous groups, 1894-1926 Alberto Cogliati |
| title_full_unstemmed | Writing small omegas Élie Cartan's contributions to the theory of continuous groups, 1894-1926 Alberto Cogliati |
| title_short | Writing small omegas |
| title_sort | writing small omegas elie cartan s contributions to the theory of continuous groups 1894 1926 |
| title_sub | Élie Cartan's contributions to the theory of continuous groups, 1894-1926 |
| topic | MATHEMATICS / Algebra / Intermediate bisacsh Continuous groups fast Continuous groups |
| topic_facet | MATHEMATICS / Algebra / Intermediate Continuous groups |
| url | https://www.sciencedirect.com/science/book/9780128142448 |
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