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

The Foulkes conjecture states that the multiplicities in the plethysmSym^a(Sym^b V) are at most as large as the multiplicities in the plethysmSym^b(Sym^a V) for all a <= b. This conjecture has been known to be true for a<= 4. The main result of this paper is its verification for a = 5. This isachieved by performing a combinatorial calculation on a computer and using apropagation theorem of Tom McKay from 2008.  Moreover, we obtain a complete representation theoretic decomposition of thevanishing ideal of the 5th Chow variety in degree 5, we show that there are nodegree 5 equations for the 6th Chow variety, and we also find somerepresentation theoretic degree 6 equations for the 6th Chow variety.

Symmetrizing Tableaux and the 5th case of the Foulkes Conjecture