LOGARITHMIC CONCAVITY OF SCHUR AND RELATED POLYNOMIALS

June Huh; Jacob P. Matherne; Karola Mészáros; Avery S.T. Dizier

doi:10.1090/tran/8606

LOGARITHMIC CONCAVITY OF SCHUR AND RELATED POLYNOMIALS

June Huh
, Jacob P. Matherne
, Karola Mészáros
, Avery S.T. Dizier

Mathematics

Research output: Contribution to journal › Article › peer-review

27 Scopus citations

Abstract

We show that normalized Schur polynomials are strongly log-concave. As a consequence, we obtain Okounkov's log-concavity conjecture for Littlewood-Richardson coefficients in the special case of Kostka numbers.

Original language	English (US)
Pages (from-to)	4411-4427
Number of pages	17
Journal	Transactions of the American Mathematical Society
Volume	375
Issue number	6
DOIs	https://doi.org/10.1090/tran/8606
State	Published - Jun 1 2022

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

Keywords

Lorentzian polynomials
Schur polynomials
log-concavity
weight multiplicities

Access to Document

10.1090/tran/8606

Cite this

@article{25a153fb4d974905a0ae39d693691552,

title = "LOGARITHMIC CONCAVITY OF SCHUR AND RELATED POLYNOMIALS",

abstract = "We show that normalized Schur polynomials are strongly log-concave. As a consequence, we obtain Okounkov's log-concavity conjecture for Littlewood-Richardson coefficients in the special case of Kostka numbers.",

keywords = "Lorentzian polynomials, Schur polynomials, log-concavity, weight multiplicities",

author = "June Huh and Matherne, \{Jacob P.\} and Karola M{\'e}sz{\'a}ros and Dizier, \{Avery S.T.\}",

note = "Publisher Copyright: {\textcopyright} 2022 American Mathematical Society",

year = "2022",

month = jun,

day = "1",

doi = "10.1090/tran/8606",

language = "English (US)",

volume = "375",

pages = "4411--4427",

journal = "Transactions of the American Mathematical Society",

issn = "0002-9947",

publisher = "American Mathematical Society",

number = "6",

}

TY - JOUR

T1 - LOGARITHMIC CONCAVITY OF SCHUR AND RELATED POLYNOMIALS

AU - Huh, June

AU - Matherne, Jacob P.

AU - Mészáros, Karola

AU - Dizier, Avery S.T.

PY - 2022/6/1

Y1 - 2022/6/1

N2 - We show that normalized Schur polynomials are strongly log-concave. As a consequence, we obtain Okounkov's log-concavity conjecture for Littlewood-Richardson coefficients in the special case of Kostka numbers.

AB - We show that normalized Schur polynomials are strongly log-concave. As a consequence, we obtain Okounkov's log-concavity conjecture for Littlewood-Richardson coefficients in the special case of Kostka numbers.

KW - Lorentzian polynomials

KW - Schur polynomials

KW - log-concavity

KW - weight multiplicities

UR - https://www.scopus.com/pages/publications/85130123062

UR - https://www.scopus.com/pages/publications/85130123062#tab=citedBy

U2 - 10.1090/tran/8606

DO - 10.1090/tran/8606

M3 - Article

AN - SCOPUS:85130123062

SN - 0002-9947

VL - 375

SP - 4411

EP - 4427

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

IS - 6

ER -

LOGARITHMIC CONCAVITY OF SCHUR AND RELATED POLYNOMIALS

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Access to Document

Other files and links

Fingerprint

Cite this