Cleft and Galois extensions associated to a weak Hopf quasigroup
Quantum Algebra
2014-12-05 v1
Abstract
In this paper we introduce the notions of cleft and Galois (with normal basis) extension associated to a weak Hopf quasigroup. We show that, under suitable conditions, both notions are equivalent. As a particular instance we recover the classical results for (weak) Hopf algebras. Moreover, taking into account that weak Hopf quasigroups generalize the notion of Hopf quasigroup, we obtain the definitions of cleft and Galois (with normal basis) extension associated to a Hopf quasigroup and we get the equivalence betwen these extensions in this setting.
Keywords
Cite
@article{arxiv.1412.1622,
title = {Cleft and Galois extensions associated to a weak Hopf quasigroup},
author = {J. N. Alonso Álvarez and J. M. Fernández Vilaboa and R. González Rodríguez},
journal= {arXiv preprint arXiv:1412.1622},
year = {2014}
}
Comments
arXiv admin note: text overlap with arXiv:1410.2180