Extensions of Enveloping Algebras by Anti-Cocommutative Elements
Rings and Algebras
2018-11-05 v2
Abstract
Anti-cocommutative elements were introduced by Wang, Zhang, Zhuang (2013) in their paper Coassociative Lie Algebras. We use this notion to extend universal enveloping algebras of Lie algebras with regards to their Hopf structure, and see if these connected Hopf algebras are enveloping algebras. Furthermore, we apply these results to compare global dimension of connected Hopf algebras and the dimension of their corresponding Lie algebras of primitive elements. Title has been renamed to "GK-Dimension of some Connected Hopf Algebras".
Cite
@article{arxiv.1711.03708,
title = {Extensions of Enveloping Algebras by Anti-Cocommutative Elements},
author = {Daniel Yee},
journal= {arXiv preprint arXiv:1711.03708},
year = {2018}
}
Comments
21 pages