Row-strict dual immaculate functions
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2022
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866914026614685696 |
|---|---|
| author | Niese, Elizabeth Sundaram, Sheila van Willigenburg, Stephanie Vega, Julianne Wang, Shiyun |
| author_facet | Niese, Elizabeth Sundaram, Sheila van Willigenburg, Stephanie Vega, Julianne Wang, Shiyun |
| contents | We define a new basis of quasisymmetric functions, the row-strict dual immaculate functions, as the generating function of a particular set of tableaux. We establish that this definition gives a function that can also be obtained by applying the $ψ$ involution to the dual immaculate functions of Berg, Bergeron, Saliola, Serrano, and Zabrocki (2014) and establish numerous combinatorial properties for our functions. We give an equivalent formulation of our functions via Bernstein-like operators, in a similar fashion to Berg et. al (2014). We conclude the paper by defining skew dual immaculate functions and hook dual immaculate functions and establishing combinatorial properties for them. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2202_00706 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Row-strict dual immaculate functions Niese, Elizabeth Sundaram, Sheila van Willigenburg, Stephanie Vega, Julianne Wang, Shiyun Combinatorics 05A05, 05E05, 16T30 We define a new basis of quasisymmetric functions, the row-strict dual immaculate functions, as the generating function of a particular set of tableaux. We establish that this definition gives a function that can also be obtained by applying the $ψ$ involution to the dual immaculate functions of Berg, Bergeron, Saliola, Serrano, and Zabrocki (2014) and establish numerous combinatorial properties for our functions. We give an equivalent formulation of our functions via Bernstein-like operators, in a similar fashion to Berg et. al (2014). We conclude the paper by defining skew dual immaculate functions and hook dual immaculate functions and establishing combinatorial properties for them. |
| title | Row-strict dual immaculate functions |
| topic | Combinatorics 05A05, 05E05, 16T30 |
| url | https://arxiv.org/abs/2202.00706 |