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New Perspectives in Algebraic Combinatorics

$58.00

Part of Mathematical Sciences Research Institute Publications

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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  • During 1996-97 MSRI held a full academic-year program on combinatorics, with special emphasis on its connections to 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 features work done or presented at the program's seminars. The text 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, present the state of the art to graduate students and researchers in combinatorics as well as in 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.

  • 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

    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

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