基于选择/商原理的词 Hopf 代数
组合数学
2013-09-17 v2 高能物理 - 理论
摘要
本文利用选择/商余乘法，在由紧致词（packed words）张成的向量空间上定义了一种 Hopf 代数结构。我们证明了该代数在其不可约紧致词上是自由的。我们还构造了该 Hopf 代数的 Hilbert 级数，并研究了其本原元。
引用
@article{arxiv.1207.6522,
title = {A word Hopf algebra based on the selection/quotient principle},
author = {G. H. E. Duchamp and N. Hoang-Nghia and A. Tanasa},
journal= {arXiv preprint arXiv:1207.6522},
year = {2013}
}
备注
13 pages. Several sequences of integers found in the paper are investigated in more detail (and one of them is related to Sloane's OEIS sequence A000629). The presentation is clarified and misprints are corrected. The explanations on the choice of the name of the algebra defined in the paper are changed. Two co-authors have been added