Noncommutative symmetric functions IV: Quantum linear groups and Hecke algebras at q = 0
| Author(s) : | Daniel Krob, |
| Publisher : | N/A |
| Publication Date : | 1997 |
| ISSN : | N/A |
| Abstract : | y z 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 Schutzenberger.The generic case leads to a notion of quantum Schur functions. 1, |