English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In this paper, we established the relationship among left-invariant flatconnections on Lie groups, left-symmetric algebras, Frobenius Lie algebras and\'{e}tale prehomogeneous vector spaces, gave a one-to-one correspondencebetween the left-symmetric Lie algebras with a right identity and the \'{e}taleprehomogeneous vector spaces for a Lie group, and proved that, in essence, anyleft-symmetric structure on a reductive Lie algebra has a right identity, whichimplies that the classification of flat connections on a reductive Lie group$G$ amounts to that of \'{e}tale prehomogeneous vector spaces for $G$. Weclassified the \'{e}tale prehomogeneous vector spaces for $G$ with simple Levifactors.

Flat Lie groups, Frobenius Lie algebras and \'{e}tale prehomogeneous vector spaces for reductive Lie groups