Base subsets of polar Grassmannians
| dc.creator | Pankov, Mark | |
| dc.date | 2006-11-17 | |
| dc.date | 2006-12-06 | |
| dc.date.accessioned | 2026-07-07T07:33:03Z | |
| dc.date.available | 2026-07-07T07:33:03Z | |
| dc.description | Let $Δ$ be a thick building of type $\textsf{X}_{n}=\textsf{C}_{n},\textsf{D}_{n}$. Let also ${\mathcal G}_k$ be the Grassmannian of $k$-dimensional singular subspaces of the associated polar space $Π$ (of rank $n$). We write ${\mathfrak G}_k$ for the corresponding shadow space of type $\textsf{X}_{n,k}$. Every bijective transformation of ${\mathcal G}_k$ sending base subsets to base subsets (the shadows of apartments) is a collineation of ${\mathfrak G}_k$, and it is induced by a collineation of $Π$ if $n\ne 4$ or $k\ne 1$. | |
| dc.identifier | https://arxiv.org/abs/math/0611527 | |
| dc.identifier | http://arxiv.org/abs/math/0611527 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/119324 | |
| dc.subject | Combinatorics | |
| dc.subject | Group Theory | |
| dc.subject | 51M35, 14M15 | |
| dc.title | Base subsets of polar Grassmannians | |
| dc.type | text |