Coalgebras of words and phrases
Turaev, Vladimir
HAL, hal-00105678 / Harvested from HAL
We introduce two constructions of a coassociative comultiplication in the algebra of phrases in a given alphabet. As a preliminary step we give two constructions of a pre-Lie comultiplication in the module generated by words.
Publié le : 2004-07-05
Classification:  [PHYS.COND.CM-SCM]Physics [physics]/Condensed Matter [cond-mat]/Soft Condensed Matter [cond-mat.soft],  [MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA],  [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO]
@article{hal-00105678,
     author = {Turaev, Vladimir},
     title = {Coalgebras of words and phrases},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00105678}
}
Turaev, Vladimir. Coalgebras of words and phrases. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00105678/