NONCOMMUTATIVE SYMMETRIC FUNCTIONS ASSOCIATED WITH A CODE, LAZARD ELIMINATION, AND WITT VECTORS

Jean-Gabriel Luque; Jean-Yves Thibon

doi:10.46298/dmtcs.378

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 VECTORS

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.

https://doi.org/10.46298/dmtcs.378

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]

Linked publications - datasets - softwares

Source : ScholeXplorer IsRelatedTo DOI 10.1006/aima.1995.1009 10.1006/aima.1995.1009 On Symmetric Functions Related to Witt Vectors and the Free Lie Algebra

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