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 math.RTShow all

5 papers · 1 filter

math.RT2020★ 9 cited

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

Ilaria Cardinali, Luca Giuzzi, Antonio Pasini

Let $Γ$ be an embeddable non-degenerate polar space of finite rank $n \geq 2$ . Assuming that $Γ$ admits the universal embedding (which is true for all embeddable polar spaces excep…

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…

math.RT2014

Embedded polar spaces revisited

Antonio Pasini

In this paper we introduce generalized pseudo-quadratic forms and develope some theory for them. Recall that the codomain of a $(σ, ε)$ -quadratic form is the group $\overl…

math.RT2013

On certain submodules of Weyl modules for SO(2n+1,F) with char(F) = 2

Ilaria Cardinali, Antonio Pasini

For $k = 1, 2, ..., n - 1$ let $V_{k} = V (λ_{k})$ be the Weyl module for the special orthogonal group $G = \mathrm{SO}(2n+1,\F)$ with respect to the $k$ -th fundamental dominant weight $λ_k…

math.RT2013

Veronesean embeddings of dual polar spaces of orthogonal type

Ilaria Cardinali, Antonio Pasini

Given a point-line geometry P and a pappian projective space S,a veronesean embedding of P in S is an injective map e from the point-set of P to the set of points of S mapping the…