2
$\begingroup$

Super Grassmannians are introduced by Manin, see for example.

Elements in a grassmannian can be written as matrices, see for example.

Can we write an element in a super Grassmannian as a pair of matrices? I search on google but did not find such results. Any help would be greatly appreciated!

Improve this question
$\endgroup$
1
  • $\begingroup$ I think the first reference you give (to the paper of Onishchik) answers the question. The super-Grassmannian is defined to have underlying space a product of ordinary Grassmannians, plus some structure sheaf. Therefore, points are pairs of linear subspaces which you can represent by matrices. $\endgroup$
    – Matthias Wendt
    Commented Jun 8, 2016 at 9:30

0

Reset to default

You must log in to answer this question.