On Representation Theory of Total (Co)Integrals
Representation Theory
2014-02-19 v2 Quantum Algebra
Abstract
In this paper, we show that total integrals and cointegrals are new sources of stable anti Yetter-Drinfeld modules. We explicitly show that how special types of total (co)integrals can be used to provide both (stable) anti Yetter-Drinfeld and Yetter- Drinfeld modules. We use these modules to classify total (co)integrals and (cleft) Hopf Galois (co)extensions for some examples of the Connes-Moscovici Hopf algebra, universal enveloping algebras and polynomial algebras.
Keywords
Cite
@article{arxiv.1402.1891,
title = {On Representation Theory of Total (Co)Integrals},
author = {Mohammad Hassanzadeh},
journal= {arXiv preprint arXiv:1402.1891},
year = {2014}
}
Comments
18 pages