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

Let H be a reductive subgroup of a reductive group G over an algebraicallyclosed field k. We consider the action of H on G^n, the n-fold Cartesianproduct of G with itself, by simultaneous conjugation. We give a purelyalgebraic characterization of the closed H-orbits in G^n, generalizing work ofRichardson which treats the case H = G.  This characterization turns out to be a natural generalization of Serre'snotion of G-complete reducibility. This concept appears to be new, even incharacteristic zero. We discuss how to extend some key results on G-completereducibility in this framework. We also consider some rationality questions.

Complete Reducibility and Conjugacy classes of tuples in Algebraic Groups and Lie algebras