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\(r\)-Qsym is free over Sym

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Publication:880011
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DOI10.1016/j.jcta.2006.08.009zbMath1115.05094OpenAlexW2007927664MaRDI QIDQ880011

Nolan R. Wallach, Adriano M. Garsia

Publication date: 10 May 2007

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcta.2006.08.009


zbMATH Keywords

free modulesquasi-symmetric functions


Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05)


Related Items

The \((1-\mathbb{E})\)-transform in combinatorial Hopf algebras ⋮ Witt vectors. Part 1



Cites Work

  • A combinatorial interpretation of q-derangement and q-Laguerre numbers
  • A decomposition of the descent algebra of the hyperoctahedral group. I, II
  • Counting permutations with given cycle structure and descent set
  • Qsym over Sym is free
  • Multiple left regular representations generated by alternants
  • Some new applications of orbit harmonics.
  • Descents of derangements and circular words
  • On the matrix occurring in a linear search problem
  • Analysis of Top To Random Shuffles
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