Base subsets of symplectic Grassmannians
| dc.creator | Pankov, Mark | |
| dc.date | 2006-02-27 | |
| dc.date.accessioned | 2026-07-07T07:03:50Z | |
| dc.date.available | 2026-07-07T07:03:50Z | |
| dc.description | Let $V$ and $V'$ be $2n$-dimensional vector spaces over fields $F$ and $F'$. Let also $Ω: V\times V\to F$ and $Ω': V'\times V'\to F'$ be non-degenerate symplectic forms. Denote by $Π$ and $Π'$ the associated $(2n-1)$-dimensional projective spaces. The sets of $k$-dimensional totally isotropic subspaces of $Π$ and $Π'$ will denoted by ${\mathcal G}_{k}$ and ${\mathcal G}'_{k}$, respectively. Apartments of the associated buildings intersect ${\mathcal G}_{k}$ and ${\mathcal G}'_{k}$ by so-called base subsets. We show that every mapping of ${\mathcal G}_{k}$ to ${\mathcal G}'_{k}$ sending base subsets to base subsets is induced by a symplectic embedding of $Π$ to $Π'$. | |
| dc.description | 12 pages | |
| dc.identifier | https://arxiv.org/abs/math/0602608 | |
| dc.identifier | http://arxiv.org/abs/math/0602608 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/109126 | |
| dc.subject | Combinatorics | |
| dc.subject | Group Theory | |
| dc.subject | 51M35, 14M15 | |
| dc.title | Base subsets of symplectic Grassmannians | |
| dc.type | text |