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math.COApr 4, 2013
27
citations (OpenAlex)
authors
  • Chris Berg
  • Nantel Bergeron
  • Franco Saliola
  • Luis Serrano
  • Mike Zabrocki
institutions
  • Fields Institute for Research in Mathematical Sciences
  • Université du Québec à Montréal
  • York University
arXiv abstractPDF
paper

Indecomposable modules for the dual immaculate basis of quasi-symmetric functions

arXiv:1304.1224 · doi:10.1090/S0002-9939-2014-12298-2

Abstract

We construct indecomposable modules for the 0-Hecke algebra whose characteristics are the dual immaculate basis of the quasi-symmetric functions.

Cited by in corpus (12)

  • Multiplicative structures of the immaculate basis of non-commutative symmetric functions
  • A lift of Schur's Q-functions to the peak algebra
  • Weak Bruhat interval modules of the 0-Hecke algebra
  • The Pieri rule for dual immaculate quasi-symmetric functions
  • Dual immaculate creation operators and a dendriform algebra structure on the quasisymmetric functions
  • The genomic Schur function is fundamental-positive
  • 0-Hecke modules for row-strict dual immaculate functions
  • Representation theory of 0-Hecke-Clifford algebras
  • Poset modules of the 0-Hecke algebras and related quasisymmetric power sum expansions
  • Pieri rules for skew dual immaculate functions
  • Equivalence classes of lower and upper descent weak Bruhat intervals
  • Quasisymmetric Schur Q-functions and peak Young quasisymmetric Schur functions
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