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Coxeter matroids

Autore: Alexandre Borovik; I M Gelʹfand; Neil White
Editore: Boston : Birkhäuser, ©2003.
Serie: Progress in mathematics (Boston, Mass.), v. 216.
Edizione/Formato:   Libro a stampa : EnglishVedi tutte le edizioni e i formati
Sommario:
Matroids appear in diverse areas of mathematics, from combinatorics to algebraic topology and geometry. This interdisciplinary and comprehensive treatment of Coxeter matroids provides an introduction to the subject.
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Informazioni aggiuntive sul formato: Online version:
Borovik, Alexandre.
Coxeter matroids.
Boston : Birkhäuser, ©2003
(OCoLC)698027026
Tipo materiale: Risorsa internet
Tipo documento Libro, Risorsa Internet
Tutti gli autori / Collaboratori: Alexandre Borovik; I M Gelʹfand; Neil White
{0} 0817637648 9780817637644 3764337648 9783764337643
Numero OCLC: 51848391
Descrizione: xxii, 264 pages : illustrations ; 24 cm.
Contenuti: 1. Matroids and Flag Matroids --
2. Matroids and Semimodular Lattices --
3. Symplectic Matroids --
4. Lagrangian Matroids --
5. Reflection Groups and Coxeter Groups --
6. Coxeter Matroids --
7. Buildings.
Titolo della serie: Progress in mathematics (Boston, Mass.), v. 216.
Responsabilità: Alexandre V. Borovik, I.M. Gelfand, Neil White ; with illustrations by Anna Borovik.

Abstract:

The Gelfand-Serganova theorem, which allows for the geometric interpretation of matroids as convex polytopes with certain symmetry properties, is presented, and in the final chapter, matroid  Per saperne di più…

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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 Per saperne di più…

 
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