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Discrete Mathematics & Theoretical Computer Science |
231
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.231Noncommutative symmetric functions III : Deformations of Cauchy and convolution algebras
Authors: Gérard Duchamp 1; Alexander Klyachko 1,2; Daniel Krob 3,1; Jean-Yves Thibon 
4,5
- 1 Laboratoire d'informatique Algorithmique : Fondements et Applications
- 2 Department of Mathematics [Ankara]
- 3 Laboratoire Informatique Théorique et Programmation
- 4 Laboratoire d'informatique Algorithmique : Fondements et Applications
- 5 Laboratoire d'Informatique Gaspard-Monge
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).
Source: HAL:hal-00018540v2
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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IsRelatedTo ARXIV 0912.0184 Source : ScholeXplorer IsRelatedTo DOI 10.48550/arxiv.0912.0184
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