NONCOMMUTATIVE SYMMETRIC FUNCTIONS ASSOCIATED WITH A CODE, LAZARD ELIMINATION, AND WITT VECTORS

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.

Keywords

• witt vectors
• codes
• symmetric functions
• factorizations of free monoids
• [math.math-co] mathematics [math]/combinatorics [math.co]