Recent Trends in Algebraic Combinatorics / edited by Hélène Barcelo, Gizem Karaali, Rosa Orellana.

Format:

Book

Contributor:

Barcelo, Hélène, 1954- editor.

Karaali, Gizem, 1974- editor.

Orellana, Rosa (Rosa Beatriz), editor.

SpringerLink (Online service)

Series:

Mathematics and Statistics (Springer-11649)

Association for Women in Mathematics Series 2364-5733 ; 16.

Association for Women in Mathematics Series, 2364-5733 ; 16

Language:

English

Subjects (All):

Combinatorial analysis.

Algebra.

Combinatorics.

Local Subjects:

Combinatorics.

Algebra.

Physical Description:

1 online resource (VII, 362 pages) : 133 illustrations, 33 illustrations in color.

Edition:

First edition 2019.

Contained In:

Springer eBooks

Place of Publication:

Cham : Springer International Publishing : Imprint: Springer, 2019.

System Details:

text file PDF

Summary:

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. Featured authors include prominent women in the field known for their exceptional writing of deep mathematics in an accessible manner. Each article in this volume was reviewed independently by two referees. The volume is suitable for graduate students and researchers interested in algebraic combinatorics. .

Contents:

Preface

Benkart, G. and Halverson, T.: Partition Algebras and the Invariant Theory of the Symmetric Group

Chen, L. and Tymoczko, J.: Affine Grassmannians and Hessenberg Schubert Cells

Fishel, S.: A Survey of the Shi Arrangement

Gillespie, M.: Variations on a Theme of Schubert Calculus

Hicks, A.: Combinatorics of the Diagonal Harmonics

Liu, F.: On Positivity of Ehrhart Polynomials

Mason, S. K.: Recent Trends in Quasisymmetric Functions

Mishna, M. J.: On Standard Young Tableaux of Bounded Height

Novik, I.: A Tale of Centrally Symmetric Polytopes and Spheres

Puskas, A.: Crystal Constructions in Number Theory.

Other Format:

Printed edition:

ISBN:

978-3-030-05141-9

9783030051419

OCLC:

1083670482

Access Restriction:

Restricted for use by site license.