New Perspectives in Algebraic Combinatorics (Mathematical Sciences Research Institute Publications, Series Number 38)

New Perspectives in Algebraic Combinatorics (Mathematical Sciences Research Institute Publications, Series Number 38)

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During 199697 MSRI held a full academicyear 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 programs 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 LittlewoodRichardson 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.

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