QUANTUM AND CLASSICAL PSEUDOGROUPS .2. DIFFERENTIAL AND SYMPLECTIC PSEUDOGROUPS

The category of sympletic pseudospaces (analogical to the category of pseudospaces in the sense of [2]) is introduced and used to define symplectic pseudogroups (structures analogical to pseudogroups [3] or quantum groups [4]). It is shown that symplectic pseudogroups are in one-to-one correspondence with Manin groups, also introduced in this paper. The set-theoretical part of these structures has been described in [I]. © 1990 Springer-Verlag.