New perspectives in algebraic combinatorics

Bibliographic Information

New perspectives in algebraic combinatorics

edited by Louis J. Billera ... [et al.]

(Mathematical Sciences Research Institute publications, 38)

Cambridge University Press, 2010, c1999

  • : pbk

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Includes bibiliographical references

Description and Table of Contents

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.

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.

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Details
  • NCID
    BB06392833
  • ISBN
    • 9780521179799
  • Country Code
    uk
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Cambridge
  • Pages/Volumes
    ix, 345 p.
  • Size
    24 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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