Abstract
Let n >= 7 and let V be an (n + 2)-dimensional vector space endowed with an anisotropic sesquilinear form. In this article we characterise the graph whose vertices are the two-dimensional subspaces of V and in which two vertices are adjacent if and only if the corresponding two-dimensional spaces are perpendicular with respect to the sesquilinear form.
| Original language | English |
|---|---|
| Pages (from-to) | 77-91 |
| Number of pages | 15 |
| Journal | Advances in Geometry |
| Volume | 10 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1 Jan 2010 |
Keywords
- split Kac-Moody group
- rank one group
- building
- Moufang set
- Iwasawa decomposition
- root group datum
- split algebraic group