Locally Finite Representations Over Noetherian Hopf algebras
Representation Theory
2022-06-22 v3 Rings and Algebras
Abstract
We study finite dimensional representations over some Noetherian algebras over a field of characteristic zero. More precisely, we give necessary and sufficient conditions for the category of locally finite dimensional representations to be closed under taking injective hulls and extend results known for group rings and enveloping algebras to Ore extensions, Hopf crossed products and affine Hopf algebras of low Gelfand-Kirillov dimension.
Keywords
Cite
@article{arxiv.2010.14192,
title = {Locally Finite Representations Over Noetherian Hopf algebras},
author = {Can Hatipoğlu and Christian Lomp},
journal= {arXiv preprint arXiv:2010.14192},
year = {2022}
}
Comments
revised version after acceptance in PAMS; Theorem 4.5 removed and Theorem 2.9 improved