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" Recent trends in algebraic combinatorics / "
Hélène Barcelo, Gizem Karaali, Rosa Orellana, editors.
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BL
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| Record Number
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860523
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| Title & Author
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Recent trends in algebraic combinatorics /\ Hélène Barcelo, Gizem Karaali, Rosa Orellana, editors.
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| Publication Statement
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Cham, Switzerland :: Springer,, 2019.
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| Series Statement
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Association for women in mathematics series,; volume 16
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| Page. NO
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1 online resource (vii, 362 pages) :: illustrations (some color)
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| ISBN
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3030051412
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: 3030051420
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: 9783030051419
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: 9783030051426
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3030051404
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9783030051402
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| Contents
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Partition algebras and the invariant theory of the symmetric group -- Affine grassmannians and Hessenberg Schubert cells -- A survery of the shi arrangement -- Variations on a theme of Schubert calculus -- Combinatorics of the diagonal harmonics -- On positivty of Ehrhart polynomials -- Recent trends in quasisymmetric functions -- On standard young tableux of bounded height -- A tale of centrally symmetric polytopes and spheres -- Crystal constructions in number theory.
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| Abstract
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This edited volume features a curated selection of research in algebraic combinatorics that explores the boundaries of current knowledge in the field. Focusing on topics experiencing broad interest and rapid growth, invited contributors offer survey articles on representation theory, symmetric functions, invariant theory, and the combinatorics of Young tableaux. The volume also addresses subjects at the intersection of algebra, combinatorics, and geometry, including the study of polytopes, lattice points, hyperplane arrangements, crystal graphs, and Grassmannians. All surveys are written at an introductory level that emphasizes recent developments and open problems. An interactive tutorial on Schubert Calculus emphasizes the geometric and topological aspects of the topic and is suitable for combinatorialists as well as geometrically minded researchers seeking to gain familiarity with relevant combinatorial tools.
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Combinatorial analysis.
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Combinatorial analysis.
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| Dewey Classification
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511/.6
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| LC Classification
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QA164
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| Added Entry
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Barcelo, Hélène,1954-
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Karaali, Gizem,1974-
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Orellana, Rosa
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