Gérard Duchamp ; Alexander Klyachko ; Daniel Krob ; Jean-Yves Thibon - Noncommutative symmetric functions III : Deformations of Cauchy and convolution algebras

dmtcs:231 - Discrete Mathematics & Theoretical Computer Science, January 1, 1997, Vol. 1 - https://doi.org/10.46298/dmtcs.231
Noncommutative symmetric functions III : Deformations of Cauchy and convolution algebrasArticle

Authors: Gérard Duchamp 1; Alexander Klyachko 1,2; Daniel Krob 3,1; Jean-Yves Thibon ORCID4,5

This paper discusses various deformations of free associative algebras and of their convolution algebras. Our main examples are deformations of noncommutative symmetric functions related to families of idempotents in descent algebras, and a simple q-analogue of the shuffle product, which has unexpected connections with quantum groups, hyperplane arrangements, and certain questions in mathematical physics (the quon algebra, generalized Brownian motion).


Volume: Vol. 1
Published on: January 1, 1997
Imported on: March 26, 2015
Keywords: [MATH.MATH-RA]Mathematics [math]/Rings and Algebras [math.RA],[MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO],[INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM]

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