Expanding quasisymmetric Schur $Q$-functions into peak Young quasisymmetric Schur functions
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866913396948992000 |
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| author | Searles, Dominic Slattery-Holmes, Matthew |
| author_facet | Searles, Dominic Slattery-Holmes, Matthew |
| contents | The dual immaculate and Young quasisymmetric Schur bases of quasisymmetric functions possess analogues in the peak algebra: respectively, the quasisymmetric Schur $Q$-functions and the peak Young quasisymmetric Schur functions. We show elements of the former basis expand into the latter basis with nonnegative coefficients. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_12751 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Expanding quasisymmetric Schur $Q$-functions into peak Young quasisymmetric Schur functions Searles, Dominic Slattery-Holmes, Matthew Combinatorics 05E05, 05E10 The dual immaculate and Young quasisymmetric Schur bases of quasisymmetric functions possess analogues in the peak algebra: respectively, the quasisymmetric Schur $Q$-functions and the peak Young quasisymmetric Schur functions. We show elements of the former basis expand into the latter basis with nonnegative coefficients. |
| title | Expanding quasisymmetric Schur $Q$-functions into peak Young quasisymmetric Schur functions |
| topic | Combinatorics 05E05, 05E10 |
| url | https://arxiv.org/abs/2406.12751 |