One-Sided Quantum Quasigroups and Loops

Demonstratio mathematica

article

J. D. H. Smith¹ 

[1] Department of Mathematics Iowa State University Ames

关键词: Hopf algebra;    quantum group;    right quasigroup;    right loop;   

DOI  :  10.1515/dema-2015-0043

学科分类：外科医学

来源: De Gruyter

【 摘 要 】

Quantum quasigroups and quantum loops are self-dual objects providing a general framework for the nonassociative extension of quantum group techniques. This paper examines their one-sided analogues, which are not self-dual. Just as quantum quasigroups are the “quantum” version of quasigroups, so one-sided quantum quasigroups are the “quantum” version of left or right quasigroups.

【 授权许可】

CC BY