2013/05/20 by Chen Bui, Bui, Chen, Gérard Henry Edmond Duchamp +3
Computer Science · Mathematics · #Combinatorics (math.CO) #FOS: Computer and information sciences #FOS: Mathematics #Symbolic Computation (cs.SC) #cs.SC #math.CO
paper · pdf · doi:10.48550/arxiv.1305.4450
arXiv admin note: text overlap with arXiv:1302.5391
arxiv created 2013/05/20 · arxiv updated 2013/09/24
In order to extend the Schützenberger's factorization, the combinatorial Hopf algebra of the q-stuffles product is developed systematically in a parallel way with that of the shuffle product and and in emphasizing the Lie elements as studied by Ree. In particular, we will give here an effective construction of pair of bases in duality.