Noncommutative Symmetric Functions IV: Quantum Linear Groups and Hecke Algebras

  • JEAN - YVES THIBON jyt
  • Published 1997

Abstract

We present representation theoretical interpretations of quasi-symmetric functions and noncommutative symmetric functions in terms of quantum linear groups and Hecke algebras at q = 0. We obtain in this way a noncommutative realization of quasi-symmetric functions analogous to the plactic symmetric functions of Lascoux and Schützenberger. The generic case leads to a notion of quantum Schur function.

Cite this paper

@inproceedings{jyt1997NoncommutativeSF, title={Noncommutative Symmetric Functions IV: Quantum Linear Groups and Hecke Algebras}, author={JEAN - YVES THIBON jyt}, year={1997} }