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New Perspectives in Algebraic Combinatorics : Mathematical Sciences Research Institute Publications - Louis J. Billera

New Perspectives in Algebraic Combinatorics

Mathematical Sciences Research Institute Publications

By: Louis J. Billera (Editor), Anders Bjorner (Editor), Curtis Greene (Editor), Rodica E. Simion (Editor), Richard P. Stanley (Editor)

Hardcover

Published: 27th March 2015
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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.

Matroid bundles
Combinatorial representation theory
An algorithmic theory of lattice points in polyhedra
Some algebraic properties of the Schechtman-Varchenko bilinear forms
Combinatorial differential topology and geometry
Macdonald polynomials and geometry
Enumeration of matchings: problems and progress
The generalized Baues problem
Littlewood-Richardson semigroups
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521770873
ISBN-10: 0521770874
Series: Mathematical Sciences Research Institute Publications
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 356
Published: 27th March 2015
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 23.4 x 15.6  x 2.1
Weight (kg): 0.64