A. Pasini

activity

20072023

most citedNearly all subspaces of a classical polar space arise from its universal embedding

9 citations · 25 across the 18 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.CO2019★ 1 cited

On the generation of some Lie-type geometries

Ilaria Cardinali, Luca Giuzzi, Antonio Pasini

Let $X_{n} (K)$ be a building of Coxeter type $X_{n} = A_{n}$ or $X_{n} = D_{n}$ defined over a given division ring $K$ (a field when $X_{n} = D_{n}$ ). For a non-connected set $J$ of nodes of the…

math.CO2019

Sets of generators and chains of subspaces

Antonio Pasini

The rank of a point-line geometry G is usually defined as the generating rank of G, namely the minimal cardinality of a generating set. However, when the subspace lattice of G sati…

math.RT2019

The generating rank of a polar Grassmannian

Ilaria Cardinali, Luca Giuzzi, Antonio Pasini

In this paper we compute the generating rank of $k$ -polar Grassmannians defined over commutative division rings. Among the new results, we compute the generating rank of $k$ -Grassm…