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Discrete Mathematics & Theoretical Computer Science
Volume 1 n° 1 (1997), pp. 159-216
| author: | Gérard Duchamp and Alexander Klyachko and Daniel Krob and Jean-Yves Thibon |
|---|---|
| title: | Noncommutative symmetric functions III: Deformations of Cauchy and convolution algebras |
| keywords: | Symmetric functions, Descent algebras, Free Lie algebras, Quantum shuffle |
| abstract: | 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). |
| reference: | Gérard Duchamp and Alexander Klyachko and Daniel Krob and Jean-Yves Thibon (1997), Noncommutative symmetric functions III: Deformations of Cauchy and convolution algebras , Discrete Mathematics and Theoretical Computer Science 1, pp. 159-216 |
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