Noncommutative Symmetric Functions Iv: Quantum Linear Groups and Hecke Algebras at q = 0

  title={Noncommutative Symmetric Functions Iv: Quantum Linear Groups and Hecke Algebras at q = 0},
  author={Daniel Krob and Jean-Yves Thibon},
  journal={Journal of Algebraic Combinatorics},
  • D. KrobJ. Thibon
  • Published 1 October 1997
  • Mathematics
  • Journal of Algebraic Combinatorics
We present representation theoretical interpretations ofquasi-symmetric functions and noncommutative symmetric functions in terms ofquantum linear groups and Hecke algebras at q = 0. We obtain inthis way a noncommutative realization of quasi-symmetric functions analogousto the plactic symmetric functions of Lascoux and Schützenberger. Thegeneric case leads to a notion of quantum Schur function. 

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