# Determinant of Vector Space?

1. Mar 2, 2009

### reginald

Hi, I'm a reading a thesis on Generalised Complex geometry and it mentions an object " det V" and "det V*", for a real vector space V, and its dual V*. Could anyone tell me what this notation means? I've been unable to find anything mentioning a determinant of an entire vector space, so I'm fairly confused! The thesis I'm reading is http://arxiv.org/abs/math/0401221v1, and the det V first appears on page 11.
Thanks!

2. Mar 2, 2009

### Hurkyl

Staff Emeritus
If V is n-dimensional, it probably means the repeated wedge product $\wedge^n V$.