We have the orthosymplectic $osp(n,m|2k)$. The bosonic part is $so(n,m)\times sp(2k)$. The lie algebra generators are given in eg

http://cds.cern.ch/record/524737/files/0110257.pdf$

where the group is described as a supermatrix acting on super space. For the groups $so(n,m)$ it is easy to go from the lie algebra to the group by exponentiating, these group elements will just be Lorentz transformations in a signature $(n,m)$ space time. Also the same can be done for $sp(2k)$. However, when including the anticommuting generators, is it possible to go from the lie algebra generators to the group by exponentiating? Is there a supermatrix representation of this group?

This post imported from StackExchange MathOverflow at 2015-03-25 13:39 (UTC), posted by SE-user user2133437