Discrete Subgroups of Semisimple Lie Groups - Couverture souple

Livre 68 sur 184: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge/A Series of Modern Surveys in Mathematics

Margulis, Gregori A. A.

9783642057212: Discrete Subgroups of Semisimple Lie Groups

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ISBN 10 : 3642057217 ISBN 13 : 9783642057212

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Margulis: winner of the Fields-medal, the highest award in mathematics (up to now only three prize-holders in the USSR); fundamental book, which has been in preparation for over 15 years. The source on Discrete groups for the coming 10 years.

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�diteur: Springer
Date d'�dition: 2010
Langue: anglais
ISBN 10: 3642057217
ISBN 13: 9783642057212
Reliure: Broch�
Nombre de pages: 404
Coordonn�es du fabricant: ProductSafety@springernature.com
ProductSafety@springernature.com

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Discrete Subgroups of Semisimple Lie Groups (eng)

Margulis, Gregori A.

Edit� par Springer, 2010

ISBN 10 : 3642057217 ISBN 13 : 9783642057212

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Discrete Subgroups of Semisimple Lie Groups (Paperback)

Gregori A. Margulis

Edit� par Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Berlin, 2010

ISBN 10 : 3642057217 ISBN 13 : 9783642057212

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Paperback. Etat : new. Paperback. Discrete subgroups have played a central role throughout the development of numerous mathematical disciplines. Discontinuous group actions and the study of fundamental regions are of utmost importance to modern geometry. Flows and dynamical systems on homogeneous spaces have found a wide range of applications, and of course number theory without discrete groups is unthinkable. This book, written by a master of the subject, is primarily devoted to discrete subgroups of finite covolume in semi-simple Lie groups. Since the notion of "Lie group" is sufficiently general, the author not only proves results in the classical geometry setting, but also obtains theorems of an algebraic nature, e.g. classification results on abstract homomorphisms of semi-simple algebraic groups over global fields. The treatise of course contains a presentation of the author's fundamental rigidity and arithmeticity theorems. The work in this monograph requires the language and basic results from fields such as algebraic groups, ergodic theory, the theory of unitary representatons, and the theory of amenable groups.The author develops the necessary material from these subjects; so that, while the book is of obvious importance for researchers working in related areas, it is essentially self-contained and therefore is also of great interest for advanced students. A detailed treatment of the geometric aspects of discrete groups was carried out by Raghunathan in his book "Discrete subgroups of Lie Groups" which appeared in 1972. By "Lie groups" we not only mean real Lie groups, but also the sets of k-rational points of algebraic groups over local fields k and their direct products. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N� de r�f. du vendeur 9783642057212

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Discrete Subgroups of Semisimple Lie Groups

Gregori A. Margulis

Edit� par Springer Berlin Heidelberg, Springer Berlin Heidelberg Okt 2010, 2010

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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -A detailed treatment of the geometric aspects of discrete groups was carried out by Raghunathan in his book 'Discrete subgroups of Lie Groups' which appeared in 1972. In particular he covered the theory of lattices in nilpotent and solvable Lie groups, results of Mal'cev and Mostow, and proved the Borel density theorem and local rigidity theorem ofSelberg-Weil. He also included some results on unipotent elements of discrete subgroups as well as on the structure of fundamental domains. The chapters concerning discrete subgroups of semi simple Lie groups are essentially concerned with results which were obtained in the 1960's. The present book is devoted to lattices, i.e. discrete subgroups of finite covolume, in semi-simple Lie groups. By 'Lie groups' we not only mean real Lie groups, but also the sets of k-rational points of algebraic groups over local fields k and their direct products. Our results can be applied to the theory of algebraic groups over global fields. For example, we prove what is in some sense the best possible classification of 'abstract' homomorphisms of semi-simple algebraic group over global fields. 404 pp. Englisch. N� de r�f. du vendeur 9783642057212

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Discrete Subgroups of Semisimple Lie Groups (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics)

Margulis, Gregori A. A.

Edit� par Springer, 2010

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Margulis, Gregori A.

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Discrete Subgroups of Semisimple Lie Groups

Margulis, Gregori A.

Edit� par Springer, 2010

ISBN 10 : 3642057217 ISBN 13 : 9783642057212

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Gregori A. Margulis

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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. &nbsp&nbspA detailed treatment of the geometric aspects of discrete groups was carried out by Raghunathan in his book Discrete subgroups of Lie Groups which appeared in 1972. In particular he covered the theory of lattices in nilpotent and s. N� de r�f. du vendeur 5044854

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Discrete Subgroups of Semisimple Lie Groups

Margulis, Gregori A.

Edit� par Springer, 2010

ISBN 10 : 3642057217 ISBN 13 : 9783642057212

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Gregori A. Margulis

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