✦ LIBER ✦
Duality between Quasi-Symmetrical Functions and the Solomon Descent Algebra
✍ Scribed by C. Malvenuto; C. Reutenauer
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 650 KB
- Volume
- 177
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
✦ Synopsis
The ring QSym of quasi-symmetric functions is naturally the dual of the Solomon descent algebra. The product and the two coproducts of the first (extending those of the symmetric functions) correspond to a coproduct and two products of the second, which are defined by restriction from the symmetric group algebra. A consequence is that QSym is a free commutative algebra. (i) 1995 Acadcmic Press, Inc.