Actions of Hopf quasigroups
Quantum Algebra
2010-05-17 v1
Abstract
Definitions of actions of Hopf quasigroups are discussed in the context of Long dimodules and smash products. In particular, Long dimodules are defined for Hopf quasigroups and coquasigroups, and solutions to Militaru's D-equation are constructed. A necessary compatibility condition between action and multiplication of a Hopf quasigroup acting on its quasimodule Hopf quasigroup for a smash product construction is derived.
Keywords
Cite
@article{arxiv.1005.2496,
title = {Actions of Hopf quasigroups},
author = {Tomasz Brzeziński and Zhengming Jiao},
journal= {arXiv preprint arXiv:1005.2496},
year = {2010}
}
Comments
16 pages