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One-Sided Quantum Quasigroups and Loops
- Source :
- Demonstratio Mathematica, Vol 48, Iss 4, Pp 620-636 (2015)
- Publication Year :
- 2015
- Publisher :
- De Gruyter, 2015.
-
Abstract
- 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.
- Subjects :
- Hopf algebra
quantum group
right quasigroup
right loop
Mathematics
QA1-939
Subjects
Details
- Language :
- English
- ISSN :
- 04201213 and 23914661
- Volume :
- 48
- Issue :
- 4
- Database :
- Directory of Open Access Journals
- Journal :
- Demonstratio Mathematica
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.6592e430e3804eaa878a08cd33f84f81
- Document Type :
- article
- Full Text :
- https://doi.org/10.1515/dema-2015-0043