Double coset

Let be the subgroup preserving a fixed . Given a fixed Lagrangian submanifold , we can also consider its stabilizer . We expect the moduli space of BRST structures to be given by the double coset:

(1)

A point of could be denoted

this notation is very natural: denotes the lagrangian submanifold, {\it i.e.} a point of , and means taking the equivalence class modulo