Structure of Polyzetas and Explicit Representation on Transcendence Bases of Shuffle and Stuffle Algebras

Autor:	Bui, Van Chien, Duchamp, Gerard H. E., Minh, Vincel Hoang Ngoc
Rok vydání:	2016
Předmět:	Mathematics - Combinatorics 68 F.2.2 G.2.1
Druh dokumentu:	Working Paper
DOI:	10.1016/j.jsc.2016.11.007
Popis:	Polyzetas, indexed by words, satisfy shuffle and quasi-shuffle identities. In this respect, one can explore the multiplicative and algorithmic (locally finite) properties of their generating series. In this paper, we construct pairs of bases in duality on which polyzetas are established in order to compute local coordinates in the infinite dimensional Lie groups where their non-commutative generating series live. We also propose new algorithms leading to the ideal of polynomial relations, homogeneous in weight, among polyzetas (the graded kernel) and their explicit representation (as data structures) in terms of irreducible elements. Comment: 26 pages, 2 tables
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1612.06011 Zobrazit plný text záznamu View this record from Arxiv