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Discrete Mathematics & Theoretical Computer Science |
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.378NONCOMMUTATIVE SYMMETRIC FUNCTIONS ASSOCIATED WITH A CODE, LAZARD ELIMINATION, AND WITT VECTORSArticle
Authors: Jean-Gabriel Luque 1,2; Jean-Yves Thibon 
1
- 1 Laboratoire d'Informatique Gaspard-Monge
- 2 Laboratoire d'Informatique, de Traitement de l'Information et des Systèmes
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.
Source: HAL:hal-00084906v1
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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