NONCOMMUTATIVE SYMMETRIC FUNCTIONS ASSOCIATED WITH A CODE, LAZARD ELIMINATION, AND WITT VECTORS
Authors: Jean-Gabriel Luque ; Jean-Yves Thibon
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Jean-Gabriel Luque;Jean-Yves Thibon
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.