Algebraic combinatorics involves the use of techniques from algebra, topology and geometry in the solution of combinatorial problems, or the use of combinatorial methods to attack problems in these areas. Problems amenable to the methods of algebraic combinatorics arise in these or other areas of mathematics, or from diverse parts of applied mathematics. Because of this interplay with many fields of mathematics, algebraic combinatorics is an area in which a wide variety of ideas and methods come together.
Laura Anderson
págs. 1-21
Combinatorial Representation Theory
Hélène Barcelo, Arun Ram
págs. 23-90
An Algorithmic Theory of Lattice Points in Polyhedra
Alexander Barvinok, James Pommersheim
págs. 91-147
Some Algebraic Properties of the Schechtman--Varchenko Bilinear Forms
Graham Denham, Phil Hanlon
págs. 149-176
Combinatorial Differential Topology and Geometry
Robin Forman
págs. 177-206
Macdonald Polynomials and Geometry
Mark D. Haiman
págs. 207-254
Enumeration of Matchings: problems and Progress
James Propp
págs. 255-291
Victor Reiner
págs. 293-336
Littlewood--Richardson Semigroups
Andrei Zelevinsky
págs. 337-345
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