Coxeter Matroids (Progress in Mathematics) and over 2 million other books are available for Amazon Kindle . Learn more


or
Sign in to turn on 1-Click ordering.
More Buying Choices
Have one to sell? Sell yours here
Sorry, this item is not available in
Image not available for
Colour:
Image not available

 
Start reading Coxeter Matroids (Progress in Mathematics) on your Kindle in under a minute.

Don't have a Kindle? Get your Kindle here, or download a FREE Kindle Reading App.

Coxeter Matroids (Progress in Mathematics) [Paperback]

Alexandre V. Borovik , Izrail M. Gelfand , A. Borovik

RRP: £72.50
Price: £59.28 & FREE Delivery in the UK. Details
You Save: £13.22 (18%)
o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o
In stock.
Dispatched from and sold by Amazon. Gift-wrap available.
Want it Saturday, 20 Sep.? Choose Express delivery at checkout. Details

Formats

Amazon Price New from Used from
Kindle Edition £16.75  
Hardcover £17.63  
Paperback £59.28  

Book Description

16 Sep 2011 1461274001 978-1461274001 Softcover reprint of the original 1st ed. 2003

Matroids appear in diverse areas of mathematics, from combinatorics to algebraic topology and geometry, and "Coxeter Matroids" provides an intuitive and interdisciplinary treatment of their theory.  In this text, matroids are examined in terms of symmetric and finite reflection groups; also, symplectic matroids and the more general coxeter matroids are carefully developed. 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 representations and combinatorial flag varieties are discussed. With its excellent bibliography and index and ample references to current research, this work will be useful for graduate students and research mathematicians.


Product details


More About the Author

Discover books, learn about writers, and more.

Product Description

Review

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)

From the Back Cover

Matroids appear in diverse areas of mathematics, from combinatorics to algebraic topology and geometry. 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.

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 in buildings 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.


Inside This Book (Learn More)
Browse and search another edition of this book.
Explore More
Concordance
Browse Sample Pages
Front Cover | Copyright | Excerpt | Index | Back Cover
Search inside this book:

Customer Reviews

There are no customer reviews yet.
5 star
4 star
3 star
2 star
1 star

Customer Discussions

This product's forum
Discussion Replies Latest Post
No discussions yet

Ask questions, Share opinions, Gain insight
Start a new discussion
Topic:
First post:
Prompts for sign-in
 

Search Customer Discussions
Search all Amazon discussions
   


Look for similar items by category


Feedback