Alexandre V Borovik

(Author)

Coxeter Matroids (Softcover Reprint of the Original 1st 2003)Paperback - Softcover Reprint of the Original 1st 2003, 16 September 2011

Coxeter Matroids (Softcover Reprint of the Original 1st 2003)
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Part of Series
Progress in Mathematics
Print Length
266 pages
Language
English
Publisher
Birkhauser
Date Published
16 Sep 2011
ISBN-10
1461274001
ISBN-13
9781461274001

Description

Matroids appear in diverse areas of mathematics, from combinatorics to algebraic topology and geometry. This largely self-contained work provides an intuitive and interdisciplinary treatment of Coxeter matroids, a new and beautiful generalization of matroids which is based on a finite Coxeter group.

Key topics and features:

* Systematic, clearly written exposition with ample references to current research

* Matroids are examined in terms of symmetric and finite reflection groups

* Finite reflection groups and Coxeter groups are developed from scratch

* The Gelfand-Serganova Theorem is presented, allowing for a geometric interpretation of matroids and Coxeter matroids as convex polytopes with certain symmetry properties

* Matroid representations and combinatorial flag varieties are studied in the final chapter

* Many exercises throughout

* Excellent bibliography and index

Accessible to graduate students and research mathematicians alike, Coxeter Matroids can be used as an introductory survey, a graduate course text, or a reference volume.

Product Details

Authors:
Alexandre V BorovikIsrael M GelfandNeil White
Book Edition:
Softcover Reprint of the Original 1st 2003
Book Format:
Paperback
Country of Origin:
NL
Date Published:
16 September 2011
Dimensions:
23.39 x 15.6 x 1.57 cm
Illustrator:
ISBN-10:
1461274001
ISBN-13:
9781461274001
Language:
English
Location:
Boston, MA
Pages:
266
Publisher:
Weight:
412.77 gm

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