It is known that, if \(\{\Lambda^ k(C^ n)\}\) are fundamental representations of gl(n,C) over the Clifford algebra of the fermionic creation and annihilation operators \(\{\psi_ i,\psi_ i^*\}\), the \(v\in \Lambda^ k(C^ n)\) satisfying the Plücker equation \(\sum^{n}_{i=1}\psi_ iv\otimes \psi_ i^*v=0\) form the Gl(n,C) orbit of the highest weight vector of \(\Lambda^ k(C^ n).\)
The paper generalises this result. A super Clifford module defines representations \(M_{k,m}\) of the super Lie algebra \(gl_{p| q}\). A generalised Plücker equation describes a group orbit of the maximal subgroup of the supergroup \(GL_{p| q}\), acting on representations \(M_{k,m}\).