Decomposition of Garside groups and self-similar L-algebras

JOURNAL OF ALGEBRA

卷:485

Article

Rump, Wolfgang¹ 

[1] Univ Stuttgart, Inst Algebra & Number Theory, Pfaffenwaldring 57, D-70550 Stuttgart, Germany

关键词: Right l-group;    Crossed product;    L-algebra;    Self-similar;    Garside group;    Artin group;    Quantum Yang-Baxter equation;   

DOI  :  10.1016/j.jalgebra.2017.04.023

来源: Elsevier

【 摘 要 】

Picantin's iterated crossed product representation of Garside monoids is extended and reproved for a wide class of not necessarily noetherian partially ordered groups with a right invariant lattice structure. It is shown that the tree-like structure of such an iterated crossed product is equivalent to a partial cycle set, closely related to a class of set-theoretic solutions of the quantum Yang-Baxter equation. The decomposition of finite square-free solutions is related to the crossed product representation of the corresponding structure group. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free