activity
19982026
most citedFinite-dimensional pointed Hopf algebras over finite simple groups of Lie type I. Non-semisimple classes in PSL(n,q)

26 citations · 112 across the 39 of their papers we have counts for

collaborators

41 papers

math.QA2026

Hopf algebras over Chevalley groups

Nicolás Andruskiewitsch, Giovanna Carnovale

We show that every finite-dimensional pointed Hopf algebra over a finite simple Chevalley group, different from with q= 3 mod 4 (and from ), is…

math.RT2026

Sheets, Jordan classes and induced orbits in the exotic and enhanced modules

Filippo Ambrosio, Giovanna Carnovale, Francesco Esposito +2

Kato developed an exotic Deligne-Langlands correspondence using a geometric model for the multiparameter affine Hecke algebra of type C, based on his exotic nilpotent cone. Achar-H…

math.AG2025

Truncated factorized perverse sheaves on Sym(C)

Giovanna Carnovale, Francesco Esposito, Lleonard Rubio y Degrassi

Kapranov and Schechtman defined the category FP of factorized perverse sheaves on Sym(C) smooth along the stratification given by multiplicities and with values in a braided monoid…

math.QA2024

Approximation of graded bialgebras

Giovanna Carnovale, Francesco Esposito, Lleonard Rubio y Degrassi

Motivated by an equivalence of categories established by Kapranov and Schechtman, we introduce, for each non-negative integer d, the category of connected bialgebras modulo d+1. We…

math.QA2024

The versatility of the Drinfeld double of a finite group

Giovanna Carnovale, Nicola Ciccoli, Elena Collacciani

In this survey we review different instances in which the Drinfeld double of a finite group and its representations play a role, touching upon some of Tom Koornwinder's research in…

math.GR2024

Twist equivalence for Nichols algebras over Coxeter groups

Giovanna Carnovale, Gabriel Maret

Bazlov generalized the construction of Fomin-Kirillov algebras to arbitrary finite Coxeter groups. They are quadratic approximations of Nichols algebras associated with the conjuga…