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Some noteworthy alternating trilinear forms

Draisma, Jan; Shaw, Ron

Authors

Jan Draisma

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.

Journal Article Type Article
Publication Date Apr 1, 2014
Journal Journal of Geometry
Print ISSN 0047-2468
Electronic ISSN 1420-8997
Publisher Springer Verlag
Peer Reviewed Peer Reviewed
Volume 105
Issue 1
Pages 167-176
APA6 Citation Draisma, J., & Shaw, R. (2014). Some noteworthy alternating trilinear forms. Journal of Geometry, 105(1), 167-176. doi:10.1007/s00022-013-0202-2
DOI https://doi.org/10.1007/s00022-013-0202-2
Keywords Trivector; Alternating form; Singular line; Division algebra; Desarguesian line-spread
Publisher URL https://link.springer.com/article/10.1007%2Fs00022-013-0202-2


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