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 $W_{m|n}$ be the (finite) $W$-algebra attached to the principal nilpotentorbit in the general linear Lie superalgebra $\mathfrak{gl}_{m|n}(\mathbb{C})$.In this paper we study the {\em Whittaker coinvariants functor}, which is anexact functor from category $\mathcal O$ for $\mathfrak{gl}_{m|n}(\mathbb{C})$to a certain category of finite-dimensional modules over $W_{m|n}$. We showthat this functor has properties similar to Soergel's functor $\mathbb V$ inthe setting of category $\mathcal O$ for a semisimple Lie algebra. We also useit to compute the center of $W_{m|n}$ explicitly, and deduce some consequencesfor the classification of blocks of $\mathcal O$ up to Morita/derivedequivalence.

Whittaker coinvariants for $\mathrm{GL}(m|n)$