Antonio Pasini

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20242026

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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.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…

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

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

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