國立高雄大學圖資館 |

Language: English

Back

Recent trends in algebraic combinatorics

Barcelo, Helene.

Recent trends in algebraic combinatorics

Record Type:	Electronic resources : Monograph/item
Title/Author:	Recent trends in algebraic combinatoricsedited by Helene Barcelo, Gizem Karaali, Rosa Orellana.
other author:	Barcelo, Helene.
Published:	Cham :Springer International Publishing :2019.
Description:	vii, 362 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Combinatorial analysis.
Online resource:	https://doi.org/10.1007/978-3-030-05141-9
ISBN:	9783030051419$q(electronic bk.)

Recent trends in algebraic combinatorics
Recent trends in algebraic combinatorics[electronic resource] /edited by Helene Barcelo, Gizem Karaali, Rosa Orellana. - Cham :Springer International Publishing :2019. - vii, 362 p. :ill. (some col.), digital ;24 cm. - Association for women in mathematics series,v.162364-5733 ;. - Association for women in mathematics series ;v.1..

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.

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.

ISBN: 9783030051419$q(electronic bk.)

Standard No.: 10.1007/978-3-030-05141-9doiSubjects--Topical Terms:

182280
Combinatorial analysis.

LC Class. No.: QA164 / .R434 2019

Dewey Class. No.: 511.6

Recent trends in algebraic combinatorics
LDR:02958nmm a2200337 a 4500 001 555792
003 DE-He213
005 20190709132621.0
006 m d
007 cr nn 008maaau
008 191121s2019 gw s 0 eng d
020 $a 9783030051419$q(electronic bk.)
020 $a 9783030051402$q(paper)
024 7 $a 10.1007/978-3-030-05141-9 $2 doi
035 $a 978-3-030-05141-9
040 $a GP $c GP
041 0 $a eng
050 4 $a QA164 $b .R434 2019
072 7 $a PBV $2 bicssc
072 7 $a MAT036000 $2 bisacsh
072 7 $a PBV $2 thema
082 0 4 $a 511.6 $2 23
090 $a QA164 $b .R295 2019
245 0 0 $a Recent trends in algebraic combinatorics $h [electronic resource] / $c edited by Helene Barcelo, Gizem Karaali, Rosa Orellana.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2019.
300 $a vii, 362 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Association for women in mathematics series, $x 2364-5733 ; $v v.16
505 0 $a 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.
520 $a 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.
650 0 $a Combinatorial analysis. $3 182280
650 1 4 $a Combinatorics. $3 274788
650 2 4 $a Algebra. $3 188312
700 1 $a Barcelo, Helene. $3 838071
700 1 $a Karaali, Gizem. $3 838072
700 1 $a Orellana, Rosa. $3 838073
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a Association for women in mathematics series ; $v v.1. $3 725090
856 4 0 $u https://doi.org/10.1007/978-3-030-05141-9
950 $a Mathematics and Statistics (Springer-11649)