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 $G$ be a finite group and $\mathbb{K}$ a field of characteristic zero.the ring $R_\mathbb{K}(G)$ of virtual characters of $G$ over $\mathbb{K}$ isnaturally endowed with a so-called Grothendieck filtration, with associatedgraded ring $R^*_\mathbb{K}(G)$. Restriction of representations to any $H\leqG$ induces a homomorphism $R^*_\mathbb{K}(G) \to R^*_\mathbb{K}(H)$. We showthat, when $G$ is abelian, induction of representations preserves thefiltration, so $R^*_\mathbb{C}(-)$ is a Mackey functor; in the general case, wepropose a modified filtration which turns $R^*_\mathbb{K}(-)$ into a Mackeyfunctor. We then turn to tensor induction of representations, and show that inthe abelian case $R^*_\mathbb{C}(-)$ is a Tambara functor.

Graded character rings, Mackey functors and Tambara functors