Noncommutative Symmetric Functions Associated with a Code, Lazard Elimination, and Witt Vectors

Mathematics – Combinatorics

Scientific paper

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Scientific paper

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.

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