Antonio Pasini

activity

20242026

collaborators

4 papers

math.GR2026

Absolutely universal projective embeddings of long-root geometries of orthogonal type

Antonio Pasini

Let $G$ be a split Chevalley group of type $B_{n}$ ( $n \geq 3$ ) or $D_{n}$ ( $n \geq 4$ ), let $L$ be its Lie algebra and $Γ$ its long-root geometry, namely $Γ$ is the line-grassmannian…

math.CO2026

Four relations on the set of point-hyperplane anti-flags

Mark Pankov, Antonio Pasini

There are precisely four arrangements of two point-hyperplane anti-flags. We consider the corresponding relations on the set of such anti-flags and show that each of them can be re…

math.GR2025

On the $1$ -cohomology of $SL (n, K)$ on the dual of its adjoint module

Ilaria Cardinali, Luca Giuzzi, Antonio Pasini

Given a field $K$ , for any $n \geq 3$ the first cohomology group $H^{1} (G_{n}, A_{n}^{*})$ of the special linear group $G_{n} = SL (n, K)$ over the dual $A_{n}^{*}$ of its…

math.RT2024

The relatively universal cover of the natural embedding of the long root geometry for the group $SL (n + 1, K)$

I. Cardinali, L. Giuzzi, A. Pasini

The long root geometry $A_{n, {1, n}} (K)$ for the special linear group $SL (n + 1, K)$ admits an embedding in the (projective space of) the vector space of t…

Absolutely universal projective embeddings of long-root geometries of orthogonal type

Four relations on the set of point-hyperplane anti-flags

On the 1-cohomology of SL(n,K) on the dual of its adjoint module

The relatively universal cover of the natural embedding of the long root geometry for the group SL(n+1,K)

On the $1$ -cohomology of $SL (n, K)$ on the dual of its adjoint module

The relatively universal cover of the natural embedding of the long root geometry for the group $SL (n + 1, K)$