Noncommutative Symmetric Functions VII: Free Quasi-Symmetric Functions Revisited
✍ Scribed by Gérard H. E. Duchamp; Florent Hivert; Jean-Christophe Novelli; Jean-Yves Thibon
- Book ID
- 105764900
- Publisher
- Springer
- Year
- 2011
- Tongue
- English
- Weight
- 349 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0218-0006
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Let Fc denote the basic quasi-symmetric functions, in Gessel's notation (1984) (C any composition). The plethysm sz oFc is a positive linear combination of functions Fo. Under certain conditions, the image under the involution ~o of a quasi-symmetric function defined by equalities and inequalities o
Let Z denote the Leibniz-Hopf algebra, which also turns up as the Solomon descent algebra and the algebra of noncommutative symmetric functions. As an algebra Z=ZOZ 1 , Z 2 , ...P, the free associative algebra over the integers in countably many indeterminates. The coalgebra structure is given by m(