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/

Zendy Plus

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

Zendy Tools

Zendy Open

In this paper we construct representations of certain graded double affineHecke algebras (DAHA) with possibly unequal parameters from geometry. Moreprecisely, starting with a simple Lie algebra $\mathfrak{g}$ together with a$\mathbb{Z}/m\mathbb{Z}$-grading $\oplus_{i}\mathfrak{g}_{i}$ and a block of$G_{\underline{0}}$-equivariant complexes on the nilpotent cone of$\mathfrak{g}_{\underline{1}}$ as introduced in \cite{LY1}, we attach a gradedDAHA and construct its action on the direct sum of spiral inductions in thatblock. This generalizes results of Vasserot \cite{V} and Oblomkov-Yun \cite{OY}which correspond to the case of the principal block.

$\mathbb{Z}/m\mathbb{Z}$-graded Lie algebras and perverse sheaves, III: graded double affine Hecke algebra