English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We give a Littlewood-Richardson type rule for expanding the product of arow-strict quasisymmetric Schur function and a symmetric Schur function interms of row-strict quasisymmetric Schur functions. We then discuss a family ofpolynomials called Demazure atoms. We review the known characterizations ofthese polynomials and then present two new characterizations. Finally, weconsider a family of polynomials called permuted basement nonsymmetricMacdonald polynomials which are obtained by permuting the basement of thecombinatorial formula of Haglund, Haiman, and Loehr for nonsymmetric Macdonaldpolynomials. We show that these permuted basement nonsymmetric Macdonaldpolynomials are the simultaneous eigenfunctions of a family of commutingoperators in the double affine Hecke algebra.

Row-strict Quasisymmetric Schur Functions, Characterizations of Demazure Atoms, and Permuted Basement Nonsymmetric Macdonald Polynomials