Quasi-Quantum Planes and Quasi-Quantum Groups of Dimension $p^3$ and $p^4$
Quantum Algebra
2014-05-19 v2
Abstract
The aim of this paper is to contribute more examples and classification results of finite pointed quasi-quantum groups within the quiver framework initiated in \cite{qha1, qha2}. The focus is put on finite dimensional graded Majid algebras generated by group-like elements and two skew-primitive elements which are mutually skew-commutative. Such quasi-quantum groups are associated to quasi-quantum planes in the sense of nonassociative geomertry \cite{m1, m2}. As an application, we obtain an explicit classification of graded pointed Majid algebras with abelian coradical of dimension and for any prime number
Keywords
Cite
@article{arxiv.1401.0361,
title = {Quasi-Quantum Planes and Quasi-Quantum Groups of Dimension $p^3$ and $p^4$},
author = {Hua-Lin Huang and Yuping Yang},
journal= {arXiv preprint arXiv:1401.0361},
year = {2014}
}
Comments
12 pages; Minor revision according to the referee's suggestion