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Expanding quasisymmetric Schur $Q$-functions into peak Young quasisymmetric Schur functions

Combinatorics 2024-06-19 v1

Abstract

The dual immaculate and Young quasisymmetric Schur bases of quasisymmetric functions possess analogues in the peak algebra: respectively, the quasisymmetric Schur QQ-functions and the peak Young quasisymmetric Schur functions. We show elements of the former basis expand into the latter basis with nonnegative coefficients.

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Cite

@article{arxiv.2406.12751,
  title  = {Expanding quasisymmetric Schur $Q$-functions into peak Young quasisymmetric Schur functions},
  author = {Dominic Searles and Matthew Slattery-Holmes},
  journal= {arXiv preprint arXiv:2406.12751},
  year   = {2024}
}

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19 pages