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

dmtcs:378 - Discrete Mathematics & Theoretical Computer Science, January 1, 2007, Vol. 9 no. 2 - https://doi.org/10.46298/dmtcs.378
NONCOMMUTATIVE SYMMETRIC FUNCTIONS ASSOCIATED WITH A CODE, LAZARD ELIMINATION, AND WITT VECTORSArticle

Authors: Jean-Gabriel Luque 1,2; Jean-Yves Thibon ORCID1

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.


Volume: Vol. 9 no. 2
Published on: January 1, 2007
Imported on: March 26, 2015
Keywords: Witt vectors,codes,symmetric functions,factorizations of free monoids,[MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO]

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