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

We give a necessary and sufficient condition for an MV polytope $P$ in ahighest weight crystal to lie in an arbitrary fixed Demazure crystal (resp.,opposite Demazure crystal), in terms of the lengths of edges along a paththrough the 1-skeleton of $P$ corresponding to a reduced word for the longestelement of the Weyl group $W$. % Also, we give an explicit description as apseudo-Weyl polytope for extremal MV polytopes in a highest weight crystal. %Finally, by combining the results above, we obtain a polytopal condition for anMV polytope $P$ to lie in an arbitrary fixed opposite Demazure crystal.

Mirkovic-Vilonen polytopes lying in a Demazure crystal and an opposite Demazure crystal