Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6416730 | Linear Algebra and its Applications | 2013 | 25 Pages |
Abstract
Let V be a 6-dimensional vector space over a field F, let f be a nondegenerate alternating bilinear form on V and let Sp(V,f)â Sp6(F) denote the symplectic group associated with (V,f). The group GL(V) has a natural action on the third exterior power â§3V of V and this action defines five families of nonzero trivectors of V. In this paper, we divide one of these five families into suborbits for the action of Sp(V,f)âGL(V) on â§3V.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
B. De Bruyn, M. Kwiatkowski,