Hopfish algebras
Quantum Algebra
2010-04-13 v2
Abstract
We introduce a notion of "hopfish algebra" structure on an associative algebra, allowing the structure morphisms (coproduct, counit, antipode) to be bimodules rather than algebra homomorphisms. We prove that quasi-Hopf algebras are examples of hopfish algebras. We find that a hopfish structure on the commutative algebra of functions on a finite set G is closely related to a "hypergroupoid" structure on G. The Morita theory of hopfish algebras is also discussed.
Cite
@article{arxiv.math/0510421,
title = {Hopfish algebras},
author = {Xiang Tang and Alan Weinstein and Chenchang Zhu},
journal= {arXiv preprint arXiv:math/0510421},
year = {2010}
}
Comments
24 pages