Recent Trends in Algebraic Combinatorics

• Corporate Author: SpringerLink (Online service)
• Other Authors: Barcelo, Hélène (Editor, http://id.loc.gov/vocabulary/relators/edt), Karaali, Gizem (Editor, http://id.loc.gov/vocabulary/relators/edt), Orellana, Rosa (Editor, http://id.loc.gov/vocabulary/relators/edt)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Series: Association for Women in Mathematics Series, 16
• Subjects: Combinatorics.; Algebra.

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 funct...

Table of 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.