# Discrete Mathematics & Theoretical Computer Science

## Volume 1 n° 1 (1997), pp. 159-216

author: | Gérard Duchamp and Alexander Klyachko and Daniel Krob and Jean-Yves Thibon |
---|---|

title: | Noncommutative symmetric functions III: Deformations of Cauchy and convolution algebras |

keywords: | Symmetric functions, Descent algebras, Free Lie algebras, Quantum shuffle |

abstract: | This paper discusses various deformations of free associative algebras and of their convolution algebras. Our main examples are deformations of noncommutative symmetric functions related to families of idempotents in descent algebras, and a simple q-analogue of the shuffle product, which has unexpected connections with quantum groups, hyperplane arrangements, and certain questions in mathematical physics (the quon algebra, generalized Brownian motion). |

reference: | Gérard Duchamp and Alexander Klyachko and Daniel Krob and Jean-Yves Thibon
(1997),
Noncommutative symmetric functions III: Deformations of Cauchy and convolution algebras
,
Discrete Mathematics and Theoretical Computer Science 1, pp. 159-216 |

ps.gz-source: | dm010112.ps.gz |

ps-source: | dm010112.ps ( 4625 K ) |

pdf-source: | dm010112.pdf ( 6039 K ) |

The first

*source*gives you the `gzipped' PostScript, the second the plain PostScript and the third the format for the Adobe accrobat reader. Depending on the installation of your web browser, at least one of these should (after some amount of time) pop up a window for you that shows the full article. If this is not the case, you should contact your system administrator to install your browser correctly.

Automatically produced on Tue Jan 19 17:49:01 MET 1999 by gustedt