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

Jean-Gabriel Luque·Jean-Yves Thibon
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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.

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Jean-Gabriel Luque, Jean-Yves Thibon. 2006-07-11. Noncommutative Symmetric Functions Associated with a Code, Lazard Elimination, and Witt Vectors. https://arxiv.org/abs/math/0607254

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