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Coxeter matroids

Autor: Alexandre Borovik; I M Gelʹfand; Neil White
Editora: Boston : Birkhäuser, ©2003.
Séries: Progress in mathematics (Boston, Mass.), v. 216.
Edição/Formato   Imprimir livro : InglêsVer todas as edições e formatos
Resumo:
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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Formato Físico Adicional: Online version:
Borovik, Alexandre.
Coxeter matroids.
Boston : Birkhäuser, ©2003
(OCoLC)698027026
Tipo de Material: Recurso Internet
Tipo de Documento Livro, Recursos de internet
Todos os Autores / Contribuintes: Alexandre Borovik; I M Gelʹfand; Neil White
ISBN: 0817637648 9780817637644 3764337648 9783764337643
Número OCLC: 51848391
Descrição: xxii, 264 pages : illustrations ; 24 cm.
Conteúdos: 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.
Título da Série: Progress in mathematics (Boston, Mass.), v. 216.
Responsabilidade: Alexandre V. Borovik, I.M. Gelfand, Neil White ; with illustrations by Anna Borovik.

Resumo:

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  Ler mais...

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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 Ler mais...

 
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