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Points and Lines: Characterizing the Classical Geometries Ernest E. Shult Author
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Points and Lines: Characterizing the Classical Geometries Ernest E. Shult Author - neues Buch

ISBN: 9783642156267

The classical geometries of points and lines include not only the projective and polar spaces, but similar truncations of geometries naturally arising from the groups of Lie type. Virtual… Mehr…

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Points and Lines: Characterizing the Classical Geometries Ernest E. Shult Author
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Points and Lines: Characterizing the Classical Geometries Ernest E. Shult Author - neues Buch

ISBN: 9783642156267

The classical geometries of points and lines include not only the projective and polar spaces, but similar truncations of geometries naturally arising from the groups of Lie type. Virtual… Mehr…

new in stock. Versandkosten:zzgl. Versandkosten.
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Points and Lines
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Points and Lines - neues Buch

ISBN: 9783642156267

The classical geometries of points and lines include not only the projective and polar spaces, but similar truncations of geometries naturally arising from the groups of Lie type. Virtual… Mehr…

Nr. A1013727247. Versandkosten:, , zzgl. Versandkosten. (EUR 8.00)
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Points and Lines - Ernest E. Shult
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Points and Lines - neues Buch

ISBN: 9783642156267

The classical geometries of points and lines include not only the projective and polar spaces, but similar truncations of geometries naturally arising from the groups of Lie type. Virtual… Mehr…

Nr. 978-3-642-15626-7. Versandkosten:Worldwide free shipping, , DE. (EUR 0.00)
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Points and Lines
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ISBN: 9783642156267

The classical geometries of points and lines include not only the projective and polar spaces, but similar truncations of geometries naturally arising from the groups of Lie type. Virtual… Mehr…

Nr. 978-3-642-15626-7. Versandkosten:Worldwide free shipping, , zzgl. Versandkosten. (EUR 0.00)

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Details zum Buch
Points and Lines: Characterizing the Classical Geometries (Universitext)

The classical geometries of points and lines include not only the projective and polar spaces, but similar truncations of geometries naturally arising from the groups of Lie type. Virtually all of these geometries (or homomorphic images of them) are characterized in this book by simple local axioms on points and lines. Simple point-line characterizations of Lie incidence geometries allow one to recognize Lie incidence geometries and their automorphism groups. These tools could be useful in shortening the enormously lengthy classification of finite simple groups. Similarly, recognizing ruled manifolds by axioms on light trajectories offers a way for a physicist to recognize the action of a Lie group in a context where it is not clear what Hamiltonians or Casimir operators are involved. The presentation is self-contained in the sense that proofs proceed step-by-step from elementary first principals without further appeal to outside results. Several chapters have new heretofore unpublished research results. On the other hand, certain groups of chapters would make good graduate courses. All but one chapter provide exercises for either use in such a course, or to elicit new research directions.

Detailangaben zum Buch - Points and Lines: Characterizing the Classical Geometries (Universitext)


EAN (ISBN-13): 9783642156267
ISBN (ISBN-10): 3642156266
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 2010
Herausgeber: Springer
676 Seiten
Gewicht: 1,001 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 2009-12-26T14:17:40+01:00 (Berlin)
Buch zuletzt gefunden am 2025-12-16T09:02:50+01:00 (Berlin)
ISBN/EAN: 9783642156267

ISBN - alternative Schreibweisen:
3-642-15626-6, 978-3-642-15626-7
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: ernes, ernest hello, ernest clear
Titel des Buches: points lines, point lines, above the lines, between the lines


Daten vom Verlag:

Autor/in: Ernest E. Shult
Titel: Universitext; Points and Lines - Characterizing the Classical Geometries
Verlag: Springer; Springer Berlin
676 Seiten
Erscheinungsjahr: 2010-12-20
Berlin; Heidelberg; DE
Gedruckt / Hergestellt in Niederlande.
Gewicht: 2,130 kg
Sprache: Englisch
53,49 € (DE)
54,99 € (AT)
59,00 CHF (CH)
POD
XXII, 676 p. 88 illus.

BC; Geometry; Hardcover, Softcover / Mathematik/Geometrie; Geometrie; Verstehen; Mathematik; 51A45, 51A50, 51A05; buildings; parapolar space; point-line geometry; polar space; Topological Groups, Lie Groups; Geometry; Topological Groups and Lie Groups; Gruppen und Gruppentheorie; EA

I.Basics.- 1 Basics about Graphs.- 2 .Geometries: Basic Concepts.- 3 .Point-line Geometries.-4.Hyperplanes, Embeddings and Teirlinck's Eheory.- II.The Classical Geometries.- 5 .Projective Planes.-6.Projective Spaces.- 7.Polar Spaces.- 8.Near Polygons.- III.Methodology.- 9.Chamber Systems and Buildings.- 10.2-Covers of Chamber Systems.- 11.Locally Truncated Diagram Geometries.-12.Separated Systems of Singular Spaces.- 13 Cooperstein's Theory of Symplecta and Parapolar Spaces.- IV.Applications to Other Lie Incidence Geometries.- 15.Characterizing the Classical Strong Parapolar Spaces: The Cohen-Cooperstein Theory Revisited.- 16.Characterizing Strong Parapolar Spaces by the Relation between Points and Certain Maximal Singular Subspaces.- 17.Point-line Characterizations of the “Long Root Geometries”.- 18.The Peculiar Pentagon Property.

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