On Hopf algebras with triangular decomposition
Quantum Algebra
2020-08-24 v2 Representation Theory
Abstract
In this survey, we first review some known results on the representation theory of algebras with triangular decomposition, including the classification of the simple modules. We then discuss a recipe to construct Hopf algebras with triangular decomposition. Finally, we extend to these Hopf algebras the main results of arXiv:1612.09220 regarding projective modules over Drinfeld doubles of bosonizations of Nichols algebras and groups.
Cite
@article{arxiv.1808.03799,
title = {On Hopf algebras with triangular decomposition},
author = {Cristian Vay},
journal= {arXiv preprint arXiv:1808.03799},
year = {2020}
}
Comments
v2: I corrected an important typo in Equation (4.5). Unfortunately, this is yet in the printed version. I also added details in the proof of Lemma 4.3