Equivariant Morita-Takeuchi Theory
Representation Theory
2018-06-22 v1 Rings and Algebras
Abstract
We introduce the notion of H-equivariant Morita-Takeuchi theory for coalgebras with symmetries given by a Hopf algebra H. A cohomology theory is introduced which classifies the possible lifts of coactions on coalgebras to corresponding comodules. An equivariant Picard groupoid is defined and its connection to the developed cohomology theory investigated.
Cite
@article{arxiv.1806.07992,
title = {Equivariant Morita-Takeuchi Theory},
author = {Bastian Seifert},
journal= {arXiv preprint arXiv:1806.07992},
year = {2018}
}
Comments
17 pages