New Perspectives in Algebraic Combinatorics

£41.99

Part of Mathematical Sciences Research Institute Publications

Editors:
Louis J. Billera, Cornell University, New York
Anders Björner
Curtis Greene, Haverford College, Pennsylvania
Rodica E. Simion, George Washington University, Washington DC
Richard P. Stanley, Massachusetts Institute of Technology

Laura Anderson, Helene Barcelo, Arun Ram, Alexander Barvinok, James Pommersheim, Graham Denham, Phil Hanlon, Robin Forman, Mark Haiman, James Propp, Victor Reiner, Andrei Zelevinsky

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Date Published: February 2011
availability: Available
format: Paperback
isbn: 9780521179799

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Description

During 1996–7 MSRI held a full academic year program on Combinatorics, with special emphasis on the connections with other branches of mathematics, such as algebraic geometry, topology, commutative algebra, representation theory, and convex geometry. The rich combinatorial problems arising from the study of various algebraic structures are the subject of this book, which represents work done or presented at seminars during the program. It contains contributions on matroid bundles, combinatorial representation theory, lattice points in polyhedra, bilinear forms, combinatorial differential topology and geometry, Macdonald polynomials and geometry, enumeration of matchings, the generalized Baues problem, and Littlewood–Richardson semigroups. These expository articles, written by some of the most respected researchers in the field, will continue to be of use to graduate students and researchers in combinatorics as well as algebra, geometry, and topology.
- Expository articles suitable for graduate students
- Explains the connections to other areas of mathematics
- Written by some of the most respected researchers in the field
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Product details
- Date Published: February 2011
- format: Paperback
- isbn: 9780521179799
- length: 356 pages
- dimensions: 234 x 156 x 19 mm
- weight: 0.5kg
- availability: Available
Table of Contents
Preface
1. Matroid bundles Laura Anderson
2. Combinatorial representation theory Helene Barcelo and Arun Ram
3. An algorithmic theory of lattice points in polyhedra Alexander Barvinok and James Pommersheim
4. Some algebraic properties of the Schechtman–Varchenko bilinear forms Graham Denham and Phil Hanlon
5. Combinatorial differential topology and geometry Robin Forman
6. Macdonald polynomials and geometry Mark Haiman
7. Enumeration of matchings: problems and progress James Propp
8. The generalized Baues problem Victor Reiner
9. Littlewood–Richardson semigroups Andrei Zelevinsky.
Look Inside
Editors
Louis J. Billera, Cornell University, New York
Anders Björner
Curtis Greene, Haverford College, Pennsylvania
Rodica E. Simion, George Washington University, Washington DC
Richard P. Stanley, Massachusetts Institute of Technology
Series editor Cam Learning use ONLY
Mathematical Sciences Research Institute
Contributors
Laura Anderson, Helene Barcelo, Arun Ram, Alexander Barvinok, James Pommersheim, Graham Denham, Phil Hanlon, Robin Forman, Mark Haiman, James Propp, Victor Reiner, Andrei Zelevinsky