Algebraic theory of locally nilpotent derivations
But, in the further development of a branch of mathematics, the human mind, encouraged by the success of its solutions, becomes conscious of its independence. It evolves from itself alone, often without appreciable in?uence from without, by means of logical combination, generalization, specializatio...
Guardat en:
| Autor principal: | |
|---|---|
| Format: | Livre numérique |
| Idioma: | Anglais |
| Publicat: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Edició: | 1st ed. 2006. |
| Col·lecció: | Encyclopaedia of Mathematical Sciences
136 |
| Matèries: | |
| Accés en línia: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Description d'après consultation du 02 mars 2011 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Variante du titre: | Invariant Theory and Algebraic Transformation Groups VII |
| Edition sous un autre format: | • Algebraic theory of locally nilpotent derivations, Gene Freudenburg, 2006, Berlin, Springer, 1 vol. (XI-261 p.), Encyclopaedia of mathematical sciences, 3-540-29521-6 • Algebraic Theory of Locally Nilpotent Derivations, Texte imprimé, 9783642067327 • Algebraic Theory of Locally Nilpotent Derivations, Texte imprimé, 9783540816942 • Algebraic theory of locally nilpotent derivations, Gene Freudenburg, 2006, Berlin, Springer, 1 vol. (XI-261 p.), Encyclopaedia of mathematical sciences, 3-540-29521-6 • Algebraic Theory of Locally Nilpotent Derivations, Texte imprimé, 9783642067327 • Algebraic Theory of Locally Nilpotent Derivations, Texte imprimé, 9783540816942 • Algebraic theory of locally nilpotent derivations, Gene Freudenburg, 2006, Berlin, Springer, 1 vol. (XI-261 p.), Encyclopaedia of mathematical sciences, 3-540-29521-6 |
| Sumari: | But, in the further development of a branch of mathematics, the human mind, encouraged by the success of its solutions, becomes conscious of its independence. It evolves from itself alone, often without appreciable in?uence from without, by means of logical combination, generalization, specialization, by separating and collecting ideas in fortunate new ways, new and fruitful problems, and appears then itself as the real questioner. David Hilbert, Mathematical Problems Thestudyoflocallynipotentderivationsand G -actionshasrecentlyemerged a from the long shadows of other branches of mathematics, branches whose provenance is older and more distinguished. The subject grew out of the rich environment of Lie theory, invariant theory, and di?erential equations, and continues to draw inspiration from these and other ?elds. At the heart of the present exposition lie sixteen principles for locally nilpotent derivations, laid out in Chapter 1. These provide the foundation upon which the subsequent theory is built. As a rule, we would like to dist- guish which properties of a locally nilpotent derivation are due to its being a derivation , and which are special to the condition locally nilpotent . Thus, we ?rst consider general properties of derivations. The sixteen First Principles which follow can then be seen as belonging especially to the locally nilpotent derivations |
|---|---|
| Descripció de l’ítem: | Description d'après consultation du 02 mars 2011 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Bibliografia: | Bibliogr. p. [243]-256. Index |
| ISBN: | 9783540295235 |
| Accés: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |