Jan Draisma
Some noteworthy alternating trilinear forms
Draisma, Jan; Shaw, Ron
Authors
Ron Shaw
Abstract
Given an alternating trilinear form T ∈ Alt(×3Vn) on Vn =V(n,F) let LT denote the set of T-singular lines in PG(n-1)=PVn, consisting that is of those lines 〈a,b〉 of PG(n-1) such that T(a, b, x) = 0 for all x ∈ Vn. Amongst the immense profusion of different kinds of T we single out a few which we deem noteworthy by virtue of the special nature of their set LT.
Citation
Draisma, J., & Shaw, R. (2014). Some noteworthy alternating trilinear forms. Journal of Geometry, 105(1), 167-176. https://doi.org/10.1007/s00022-013-0202-2
| Journal Article Type | Article |
|---|---|
| Online Publication Date | Dec 25, 2013 |
| Publication Date | Apr 1, 2014 |
| Deposit Date | Jun 29, 2018 |
| Journal | Journal of Geometry |
| Print ISSN | 0047-2468 |
| Publisher | Springer Verlag |
| Peer Reviewed | Peer Reviewed |
| Volume | 105 |
| Issue | 1 |
| Pages | 167-176 |
| DOI | https://doi.org/10.1007/s00022-013-0202-2 |
| Keywords | Trivector; Alternating form; Singular line; Division algebra; Desarguesian line-spread |
| Public URL | https://hull-repository.worktribe.com/output/901345 |
| Publisher URL | https://link.springer.com/article/10.1007%2Fs00022-013-0202-2 |
| Contract Date | Jun 29, 2018 |