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A Note on Jing and Li’s Type \(\varvec{B}\) Quasisymmetric Schur Functions

  • Ezgi Kantarcı OğuzEmail author
Article
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Abstract

In 2015, Jing and Li defined type B quasisymmetric Schur functions and conjectured that these functions have a positive, integral and unitriangular expansion into peak functions. We prove this conjecture, and refine their combinatorial model to give explicit expansions in monomial, fundamental and peak bases. We also show that these functions are not quasisymmetric Schur, Young quasisymmetric Schur or dual immaculate positive, and do not have a positive multiplication rule.

Keywords

Quasisymmetric functions Tableau combinatorics Quasisymmetric Schur P- and Q-functions Peak composition tableaux 

Mathematics Subject Classification

05E05 05E10 20C33 

Notes

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of Southern CaliforniaLos AngelesUSA

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