Verlag: Springer Berlin Heidelberg, 2002
ISBN 10: 3540437142 ISBN 13: 9783540437147
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Zustand: Sehr gut. Zustand: Sehr gut - Gepflegter, sauberer Zustand. Aus der Auflösung einer renommierten Bibliothek. Kann Stempel beinhalten. | Seiten: 548 | Sprache: Englisch | Produktart: Bücher.
Verlag: Springer Berlin Heidelberg, 2002
ISBN 10: 3540437142 ISBN 13: 9783540437147
Anbieter: Buchpark, Trebbin, Deutschland
Zustand: Sehr gut. Zustand: Sehr gut - Gepflegter, sauberer Zustand. | Seiten: 548 | Sprache: Englisch | Produktart: Bücher.
Verlag: Springer, 2002
ISBN 10: 3540437142 ISBN 13: 9783540437147
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Zustand: Good. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In good all round condition. No dust jacket.
Verlag: Springer, 2002
ISBN 10: 3540437142 ISBN 13: 9783540437147
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Verlag: Springer, 2002
ISBN 10: 3540437142 ISBN 13: 9783540437147
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ISBN 10: 3540437142 ISBN 13: 9783540437147
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Verlag: Springer Berlin Heidelberg, 2002
ISBN 10: 3540437142 ISBN 13: 9783540437147
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Gebunden. Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Gives a complete classification of Moufang polygons, starting from first principlesIncludes a totally new classification of the spherical buildings of rank 3 at leastJ. Tits is one of the best and most influential algebraists of the past 50 years.
Verlag: Springer Berlin Heidelberg Sep 2002, 2002
ISBN 10: 3540437142 ISBN 13: 9783540437147
Anbieter: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Deutschland
Buch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book gives the complete classification of Moufang polygons, starting from first principles. In particular, it may serve as an introduction to the various important algebraic concepts which arise in this classification including alternative division rings, quadratic Jordan division algebras of degree three, pseudo-quadratic forms, BN-pairs and norm splittings of quadratic forms. This book also contains a new proof of the classification of irreducible spherical buildings ofrank at least three based on the observation that all the irreducible rank two residues of such a building are Moufang polygons. In an appendix, the connection between spherical buildings and algebraic groups is recalled and used to describe an alternative existence proof for certain Moufang polygons. 548 pp. Englisch.
Verlag: Springer Berlin Heidelberg, 2002
ISBN 10: 3540437142 ISBN 13: 9783540437147
Anbieter: AHA-BUCH GmbH, Einbeck, Deutschland
Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Spherical buildings are certain combinatorial simplicial complexes intro duced, at first in the language of 'incidence geometries,' to provide a sys tematic geometric interpretation of the exceptional complex Lie groups. (The definition of a building in terms of chamber systems and definitions of the various related notions used in this introduction such as 'thick,' 'residue,' 'rank,' 'spherical,' etc. are given in Chapter 39. ) Via the notion of a BN-pair, the theory turned out to apply to simple algebraic groups over an arbitrary field. More precisely, to any absolutely simple algebraic group of positive rela tive rank £ is associated a thick irreducible spherical building of the same rank (these are the algebraic spherical buildings) and the main result of Buildings of Spherical Type and Finite BN-Pairs [101] is that the converse, for £ ::::: 3, is almost true: (1. 1) Theorem. Every thick irreducible spherical building of rank at least three is classical, algebraic' or mixed. Classical buildings are those defined in terms of the geometry of a classical group (e. g. unitary, orthogonal, etc. of finite Witt index or linear of finite dimension) over an arbitrary field or skew-field. (These are not algebraic if, for instance, the skew-field is of infinite dimension over its center. ) Mixed buildings are more exotic; they are related to groups which are in some sense algebraic groups defined over a pair of fields k and K of characteristic p, where KP eke K and p is two or (in one case) three.
Verlag: Springer, 2002
ISBN 10: 3540437142 ISBN 13: 9783540437147
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ISBN 10: 3540437142 ISBN 13: 9783540437147
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Verlag: Springer, 2002
ISBN 10: 3540437142 ISBN 13: 9783540437147
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Verlag: Springer, 2002
ISBN 10: 3540437142 ISBN 13: 9783540437147
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ISBN 10: 3540437142 ISBN 13: 9783540437147
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Verlag: Springer, 2002
ISBN 10: 3540437142 ISBN 13: 9783540437147
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Verlag: Springer, 2002
ISBN 10: 3540437142 ISBN 13: 9783540437147
Anbieter: 369 Bookstore _[~ 369 Pyramid Inc ~]_, Dover, DE, USA
Hardcover. Zustand: Good. Spherical buildings are certain combinatorial simplicial complexes intro duced, at first in the language of "incidence geometries," to provide a sys tematic geometric interpretation of the exceptional complex Lie groups. (The definition of a building in terms of chamber systems and definitions of the various related notions used in this introduction such as "thick," "residue," "rank," "spherical," etc. are given in Chapter 39. ) Via the notion of a BN-pair, the theory turned out to apply to simple algebraic groups over an arbitrary field. More precisely, to any absolutely simple algebraic group of positive rela tive rank ? is associated a thick irreducible spherical building of the same rank (these are the algebraic spherical buildings) and the main result of Buildings of Spherical Type and Finite BN-Pairs [101] is that the converse, for ? ::::: 3, is almost true: (1. 1) Theorem. Every thick irreducible spherical building of rank at least three is classical, algebraic' or mixed. Classical buildings are those defined in terms of the geometry of a classical group (e. g. unitary, orthogonal, etc. of finite Witt index or linear of finite dimension) over an arbitrary field or skew-field. (These are not algebraic if, for instance, the skew-field is of infinite dimension over its center. ) Mixed buildings are more exotic; they are related to groups which are in some sense algebraic groups defined over a pair of fields k and K of characteristic p, where KP eke K and p is two or (in one case) three.
Verlag: Springer, 2002
ISBN 10: 3540437142 ISBN 13: 9783540437147
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Verlag: Springer, 2002
ISBN 10: 3540437142 ISBN 13: 9783540437147
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ISBN 10: 3540437142 ISBN 13: 9783540437147
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ISBN 10: 3540437142 ISBN 13: 9783540437147
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Verlag: Springer, 2002
ISBN 10: 3540437142 ISBN 13: 9783540437147
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