Two characterizations of finite quasi-Hopf algebras
Quantum Algebra
2007-05-23 v1
Abstract
Let H be a finite-dimensional quasibialgebra. We show that H is a quasi-Hopf algebra if and only if the category of its finite-dimensional left modules is rigid if and only if a structure theorem for Hopf modules over H holds. We also show that a dual structure theorem for Hopf modules over a coquasibialgebra H holds if and only if the category of finite-dimensional right H-comodules is rigid; this is not equivalent to H being a coquasi-Hopf algebra.
Keywords
Cite
@article{arxiv.math/0207069,
title = {Two characterizations of finite quasi-Hopf algebras},
author = {Peter Schauenburg},
journal= {arXiv preprint arXiv:math/0207069},
year = {2007}
}
Comments
11 pages