NONCOMMUTATIVE SYMMETRIC FUNCTIONS ASSOCIATED WITH A CODE, LAZARD ELIMINATION, AND WITT VECTORS
Jean-Gabriel Luque (1) (2), Jean-Yves Thibon (1)
(1) Laboratoire d'Informatique Gaspard-Monge
(2) Laboratoire d'Informatique, de Traitement de l'Information et des Systèmes
Abstract
The construction of the universal ring of Witt vectors is related to Lazard's factorizations of free monoids by means of a noncommutative analogue. This is done by associating to a code a specialization of noncommutative symmetric functions.
