G. Carnovale

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

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Showing 2015Show all

4 papers · 1 filter

math.RT2015

On small modules for quantum groups at roots of unity

Giovanna Carnovale, Iulian I. Simion

A conjecture of De Concini Kac and Procesi provides a bound on the minimal possible dimension of an irreducible module for quantized enveloping algebras at an odd root of unity. We…

math.QA2015★ 10 cited

Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type III. Semisimple classes in PSL(n,q)

Nicolás Andruskiewitsch, Giovanna Carnovale, Gastón Andrés García

We show that Nichols algebras of most simple Yetter-Drinfeld modules over the projective special linear group over a finite field, corresponding to semisimple orbits, have infinite…

math.RT2015

A Katsylo theorem for sheets of spherical conjugacy classes

Giovanna Carnovale, Francesco Esposito

We show that, for a sheet or a Lusztig stratum S containing spherical conjugacy classes in a connected reductive algebraic group G over an algebraically closed field in good charac…

math.QA2015

$θ$ -semisimple twisted conjugacy classes of type D in $PSL_{n} (q)$

Giovanna Carnovale, Agustín García Iglesias

Let $p$ be an odd prime, $m \in N$ and set $q = p^{m}$ , $G = PSL_{n} (q)$ . Let $θ$ be a standard graph automorphism of $G$ , $d$ be a diagonal automorphism and $\oper…

On small modules for quantum groups at roots of unity

Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type III. Semisimple classes in PSL(n,q)

A Katsylo theorem for sheets of spherical conjugacy classes

θ-semisimple twisted conjugacy classes of type D in PSLn​(q)

$θ$ -semisimple twisted conjugacy classes of type D in $PSL_{n} (q)$