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 note I introduce a new approach to (or rather a new language for)representation theory of groups. Namely, I propose to consider a (complex)representation of a group $G$ as a sheaf on some geometric object (a stack).  This point of view necessarily leads to a conclusion that the standardapproach to (continuous) representations of algebraic groups is ideologicallyinconsistent. I propose a way to modify this approach using sheaves on stacks.  In new version I corrected some misprints and added an explanation howstack's approach is related to Vogan's picture of representations.

Stacks in Representation Theory. What is a continuous representation of an algebraic group ?