Row-strict quasisymmetric Schur functions
Abstrak
Haglund, Luoto, Mason, and van Willigenburg introduced a basis for quasisymmetric functions called the $\textit{quasisymmetric Schur function basis}$ which are generated combinatorially through fillings of composition diagrams in much the same way as Schur functions are generated through reverse column-strict tableaux. We introduce a new basis for quasisymmetric functions called the $\textit{row-strict quasisymmetric Schur function basis}$ which are generated combinatorially through fillings of composition diagrams in much the same way as Schur functions are generated through row-strict tableaux. We describe the relationship between this new basis and other known bases for quasisymmetric functions, as well as its relationship to Schur polynomials. We obtain a refinement of the omega transform operator as a result of these relationships.
Topik & Kata Kunci
Penulis (2)
Sarah K Mason
Jeffrey Remmel
Akses Cepat
- Tahun Terbit
- 2011
- Sumber Database
- DOAJ
- DOI
- 10.46298/dmtcs.2942
- Akses
- Open Access ✓