Home
Resource
A product formula for certain Littlewood-Richardson coefficients for Jack and Macdonald polynomials
PDF
PDF format is widely accepted and good for printing.
Plug-in required
PDF-1(365.31 kb)
Citation & Export
View Usage Statistics
Staff View

Citation & Export
Hide

Simple citation

Naqvi, Yusra Fatima. A product formula for certain Littlewood-Richardson coefficients for Jack and Macdonald polynomials. Retrieved from https://doi.org/doi:10.7282/T35M6417

Export

Click here for information about Citation Management Tools at Rutgers.

Statistics
Hide

Description

TitleA product formula for certain Littlewood-Richardson coefficients for Jack and Macdonald polynomials
NameNaqvi, Yusra Fatima (author); Sahi, Siddhartha (chair); Buch, Anders (internal member); Zeilberger, Doron (internal member); Haglund, James (outside member); Rutgers University; Graduate School - New Brunswick
Date Created2014
Other Date2014-05 (degree)
SubjectMathematics, Polynomials
Extentvi, 50 p. : ill.
DescriptionJack polynomials generalize several classical families of symmetric polynomials, including Schur polynomials, and are further generalized by Macdonald polynomials. In 1989, Richard Stanley conjectured that if the Littlewood-Richardson coefficient for a triple of Schur polynomials is 1, then the corresponding coefficient for Jack polynomials can be expressed as a product of weighted hooks of the Young diagrams associated to the partitions indexing the coefficient. We prove a special case of this conjecture in which the partitions indexing the Littlewood-Richardson coefficient have at most 3 parts. We also show that this result extends to Macdonald polynomials.
NotePh.D.
NoteIncludes bibliographical references
Noteby Yusra Fatima Naqvi
Genretheses, ETD doctoral
Persistent URLhttps://doi.org/doi:10.7282/T35M6417
Languageeng
CollectionGraduate School - New Brunswick Electronic Theses and Dissertations
Organization NameRutgers, The State University of New Jersey
RightsThe author owns the copyright to this work.
Version 8.5.5
Rutgers University Libraries - Copyright ©2024