Lie groups / J. J. Duistermaat, J. A. C. Kolk
Type de document : MonographieCollection : UniversitextLangue : anglais.Pays: Allemagne.Éditeur : Berlin : Springer-Verlag, cop. 2000Description : 1 vol. (VIII-344 p.) : fig. ; 24 cmISBN: 3540152938.ISSN: 0172-5939.Bibliographie : Bibliogr. en fin de chapitres. Index.Sujet MSC : 22-01, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to topological groups22E15, Lie groups, General properties and structure of real Lie groups
22E10, Lie groups, General properties and structure of complex Lie groups
22E30, Lie groups, Analysis on real and complex Lie groups
22E45, Lie groups, Representations of Lie and linear algebraic groups over real fields: analytic methods
22E46, Lie groups, Semisimple Lie groups and their representationsEn-ligne : Springerlink
| Item type | Current library | Call number | Status | Date due | Barcode |
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Monographie
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CMI Salle 1 | 22 DUI (Browse shelf(Opens below)) | Available | 03420-01 |
Bibliogr. en fin de chapitres. Index
This book is a (post)graduate textbook on Lie groups and Lie algebras. Its aim is to give a broad introduction to the field with an emphasis on using differential-geometrical methods, in the spirit of Lie himself. The structure of compact Lie groups is analyzed in terms of the action of the group on itself by conjugation. The book culminates in the classification of the representations of compact Lie groups and in their realization as sections of holomorphic line bundles over flag manifolds. The relations with algebraic and analytic models are also discussed. A review of the required background material is provided in appendices. (Source : springer)
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