On the associative Nijenhuis Relation
arXiv:math-ph/0302062 · doi:10.37236/1791
Abstract
In this brief note we would like to give the construction of a free commutative unital associative Nijenhuis algebra on a commutative unital associative algebra based on an augmented modified quasi-shuffle product.
12 pages, 1 figure, typos corrected
Cited by in corpus (9)
- Mixable Shuffles, Quasi-shuffles and Hopf Algebras
- Free Rota-Baxter algebras and rooted trees
- On Products and Duality of Binary, Quadratic, Regular Operads
- From Rota-Baxter Algebras to Pre-Lie Algebras
- An algebraic scheme associated with the noncommutative KP hierarchy and some of its extensions
- Integrable Renormalization I: the Ladder Case
- From AKNS to derivative NLS hierarchies via deformations of associative products
- Generalized shuffles related to Nijenhuis and TD-algebras
- Left counital Hopf algebras on free Nijenhuis algebras