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 study super cluster algebra structure arising in examples provided bysuper Pl\"{u}cker and super Ptolemy relations. We develop the super clusterstructure of the super Grassmannians $\Gr_{2|0}(n|1)$ for arbitrary $n$, whichwas indicated earlier in our joint work with Th. Voronov. For the super Ptolemyrelation for the decorated super Teichm\"{u}ller space of Penner-Zeitlin, weshow how by a change of variables it can be transformed into the classicalPtolemy relation with the new even variables decoupled from odd variables. Wealso analyze super Pl\"{u}cker relations for general super Grassmannians andobtain a new simple form of the relations for $\Gr_{r|1}(n|1)$. To this end, weestablish properties of Berezinians of certain type matrices (which we call``wrong'').

On super cluster algebras based on super Pl\"ucker and super Ptolemy relations