activity
19972026
most citedGroup-theoretical properties of nilpotent modular categories

57 citations · 285 across the 51 of their papers we have counts for

collaborators

59 papers

math.RT2026

Hopf -cocycles for certain affine algebraic reductive groups

Shlomo Gelaki

Let be an affine algebraic reductive group over whose identity component is a torus , and let . We realize $\Rep(G)$ as an equivariantization $\Rep(T)^K…

math.QA2026

On the Drinfeld center of the Verlinde category $\Ver_p$

Shlomo Gelaki, Victor Ostrik

We provide some information about the Drinfeld center $\Z(\Ver_p)$ of the Verlinde category $\Ver_p$. We compute explicitly the graded Cartan matrix, bound quiver and cohomology of…

math.QA2026

On the Drinfeld double of a finite group scheme and its representation category

Daniel Arreola, Shlomo Gelaki

We classify equivalence classes of Hopf algebra quotient pairs of the Drinfeld double of a finite group scheme over an algebraically closed field of…

math.QA2024

Twisted unipotent groups

Ken A. Brown, Shlomo Gelaki

We study the algebraic structure and representation theory of the Hopf algebras when is an affine algebraic unipotent group over with $\math…

math.RT2024

On finite group scheme-theoretical categories, II

Shlomo Gelaki, Guillermo Sanmarco

Let $\C:=\C(G,ω,H,ψ)$ be a finite group scheme-theoretical category over an algebraically closed field of characteristic . For every indecomposable exact module category ov…

math.QA2023

On finite group scheme-theoretical categories, I

Shlomo Gelaki, Guillermo Sanmarco

Let be a finite group scheme-theoretical category over an algebraically closed field of characteristic as introduced by the first author. For any ind…