KI-Beratung Beta
Vor Ort
Merkzettel Warenkorb
  • Produktbild: Coxeter Matroids
  • Produktbild: Coxeter Matroids
Band 216 - 13%

Coxeter Matroids

Aus der Reihe Progress in Mathematics
13% sparen

92,99 € UVP 106,99 €

inkl. gesetzl. MwSt., Versandkostenfrei

Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

11.07.2003

Abbildungen

XXII, 266 p.

Illustriert von

A. Borovik

Verlag

Birkhäuser Boston

Seitenzahl

266

Maße (L/B/H)

24,2/16,4/1,9 cm

Gewicht

549 g

Auflage

2003 edition

Sprache

Englisch

ISBN

978-0-8176-3764-4

Beschreibung

Rezension

From the reviews:


"This largely self-contained text provides an intuitive and interdisciplinary treatment of Coxeter matroids, a new and beautiful generalization of matroids which is based on a finite Coxeter group."


— ZENTRALBLATT MATH


"...this accessible and well-written book, intended to be "a cross between a postgraduate text and a research monograph," is well worth reading and makes a good case for doing matroids with mirrors."


— SIAM REVIEW


"This accessible and well-written book, intended to be ‘a cross between a postgraduate text and a research monograph,’ is well worth reading and makes a good case for doing matroids with mirrors." (Joseph Kung, SIAM Review, Vol. 46 (3), 2004)


"This accessible and well-written book, designed to be ‘a cross between a postgraduate text and a research monograph’, should win many converts.”(MATHEMATICAL REVIEWS)

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

11.07.2003

Abbildungen

XXII, 266 p.

Illustriert von

A. Borovik

Verlag

Birkhäuser Boston

Seitenzahl

266

Maße (L/B/H)

24,2/16,4/1,9 cm

Gewicht

549 g

Auflage

2003 edition

Sprache

Englisch

ISBN

978-0-8176-3764-4

Herstelleradresse

Libri GmbH
Europaallee 1
36244 Bad Hersfeld
DE

Email: gpsr@libri.de

Ein neues Kapitel für Ihre Bücher

Ein neues Kapitel für Ihre Bücher

Schenken Sie Ihren alten Schätzen ein zweites Leben und erhalten Sie dafür eine Thalia Geschenkkarte.

Jetzt verkaufen
Jetzt verkaufen

Noch keine Bewertungen vorhanden

Verfassen Sie die erste Bewertung zu diesem Artikel

Helfen Sie anderen Kundinnen und Kunden durch Ihre Meinung.

Kundinnen und Kunden meinen

Bewertungen (0)
  • Produktbild: Coxeter Matroids
  • Produktbild: Coxeter Matroids
  • 1 Matroids and Flag Matroids.- 1.1 Matroids.- 1.2 Representable matroids.- 1.3 Maximality Property.- 1.4 Increasing Exchange Property.- 1.5 Sufficient systems of exchanges.- 1.6 Matroids as maps.- 1.7 Flag matroids.- 1.8 Flag matroids as maps.- 1.9 Exchange properties for flag matroids.- 1.10 Root system.- 1.11 Polytopes associated with flag matroids.- 1.12 Properties of matroid polytopes.- 1.13 Minkowski sums.- 1.14 Exercises for Chapter 1.- 2 Matroids and Semimodular Lattices.- 2.1 Lattices as generalizations of projective geometry.- 2.2 Semimodular lattices.- 2.3 Jordan—Hölder permutation.- 2.4 Geometric lattices.- 2.5 Representations of matroids.- 2.6 Representation of flag matroids.- 2.7 Every flag matroid is representable.- 2.8 Exercises for Chapter 2.- 3 Symplectic Matroids.- 3.1 Definition of symplectic matroids.- 3.2 Root systems of type Cn.- 3.3 Polytopes associated with symplectic matroids.- 3.4 Representable symplectic matroids.- 3.5 Homogeneous symplectic matroids.- 3.6 Symplectic flag matroids.- 3.7 Greedy Algorithm.- 3.8 Independent sets.- 3.9 Symplectic matroid constructions.- 3.10 Orthogonal matroids.- 3.11 Open problems.- 3.12 Exercises for Chapter 3.- 4 Lagrangian Matroids.- 4.1 Lagrangian matroids.- 4.2 Circuits and strong exchange.- 4.3 Maps on orientable surfaces.- 4.4 Exercises for Chapter 4.- 5 Reflection Groups and Coxeter Groups.- 5.1 Hyperplane arrangements.- 5.2 Polyhedra and polytopes.- 5.3 Mirrors and reflections.- 5.4 Root systems.- 5.5 Isotropy groups.- 5.6 Parabolic subgroups.- 5.7 Coxeter complex.- 5.8 Labeling of the Coxeter complex.- 5.9 Galleries.- 5.10 Generators and relations.- 5.11 Convexity.- 5.12 Residues.- 5.13 Foldings.- 5.14 Bruhat order.- 5.15 Splitting the Bruhat order.- 5.16 Generalized permutahedra.- 5.17 Symmetricgroup as a Coxeter group.- 5.18 Exercises for Chapter 5.- 6 Coxeter Matroids.- 6.1 Coxeter matroids.- 6.2 Root systems.- 6.3 The Gelfand—Serganova Theorem.- 6.4 Coxeter matroids and polytopes.- 6.5 Examples.- 6.6 W-matroids.- 6.7 Characterization of matroid maps.- 6.8 Adjacency in matroid polytopes.- 6.9 Combinatorial adjacency.- 6.10 The matroid polytope.- 6.11 Exchange groups of Coxeter matroids.- 6.12 Flag matroids and concordance.- 6.13 Combinatorial flag variety.- 6.14 Shellable simplicial complexes.- 6.15 Shellability of the combinatorial flag variety.- 6.16 Open problems.- 6.17 Exercises for Chapter 6.- 7 Buildings.- 7.1 Gaussian decomposition.- 7.2 BN-pairs.- 7.3 Deletion Property.- 7.4 Deletion property and Coxeter groups.- 7.5 Reflection representation of W.- 7.6 Classification of finite Coxeter groups.- 7.7 Chamber systems.- 7.8 W-metric.- 7.9 Buildings.- 7.10 Representing Coxeter matroids in buildings.- 7.11 Vector-space representations and building representations.- 7.12 Residues in buildings.- 7.13 Buildings of type An-1 = Symn.- 7.14 Combinatorial flag varieties, revisited.- 7.15 Open Problems.- 7.16 Exercises for Chapter 7.- References.