Produkt
KlappentextFrom the reviews: "..., the book must be of great help for a researcher who already has some idea of Lie theory, wants to employ it in his everyday research and/or teaching, and needs a source for customary reference on the subject.
ZusammenfassungDieses Buch ist das erste in der Subreihe der EMS, die die Theorie der Lie-Gruppen und Lie-Algebren behandelt. Im ersten Teil geben die Autoren Onishchik und Vinberg eine Einführung in dieses Gebiet. Der zweite Teil hat ein wesentlich höheres Niveau. Hier behandeln Gorbatsevich und Onishchik Liesche Transformationsgruppen. Sie stellen die Entwicklung dieses Gebietes in den letzten Jahrzehnten einschließlich der neuesten Forschungsergebnisse dar. Das Buch wendet sich an Studenten höherer Semester in Mathematik und theoretischer Physik.
The book by Gorbatsevich, Onishchik and Vinberg is the first in a series of volumes devoted to the theory of Lie groups and Lie algebras. The first part of the book deals with the foundations of the theory based on the classical global approach of Chevalley followed by an exposition of the alternative approach via the universal algebra and the Campbell-Hausdorff formula. It also contains a survey of certain generalizations of Lie groups. The second more advanced part treats the topic of Lie transformation groups covering e.g. properties of orbits and stabilizers, homogeneous fibre bundles, Frobenius duality, groups of automorphisms of geometric structures, Lie algebras of vector fields and the existence of slices. The work of the last decades including the most recent research results is covered.
The book contains numerous examples and describes connections with topology, differential geometry, analysis and applications. It will be of great interest to graduate students and researchers in mathematics and theoretical physics.
The book by Gorbatsevich, Onishchik and Vinberg is the first in a series of volumes devoted to the theory of Lie groups and Lie algebras. The first part of the book deals with the foundations of the theory based on the classical global approach of Chevalley followed by an exposition of the alternative approach via the universal algebra and the Campbell-Hausdorff formula. It also contains a survey of certain generalizations of Lie groups. The second more advanced part treats the topic of Lie transformation groups covering e.g. properties of orbits and stabilizers, homogeneous fibre bundles, Frobenius duality, groups of automorphisms of geometric structures, Lie algebras of vector fields and the existence of slices. The work of the last decades including the most recent research results is covered.
The book contains numerous examples and describes connections with topology, differential geometry, analysis and applications. It will be of great interest to graduate students and researchers in mathematics and theoretical physics.
Details
ISBN/GTIN978-3-540-61222-3
ProduktartBuch
EinbandartKartoniert, Paperback
Verlag
Erscheinungsjahr1996
Erscheinungsdatum18.12.1996
AuflageSoftcover reprint of the original 1st ed. 1993
Seiten238 Seiten
SpracheEnglisch
Gewicht380 g
IllustrationenVII, 238 p.
Artikel-Nr.10108193
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