Abstract
The role of univertible transformations in superstring theories is discussed. A new parametrization of superconformal groups is presented that permits their ideal extensions—superconformal semigroups—to be constructed adequately. These semigroups consist of a group part containing the standard superconformal transformations and an ideal part whose abstract structure is analyzed in detail. A classification of all elements in terms of different indices of nilpotency is performed. An ideal series is constructed, the generalized Green's “vector” and “tensor” relations are defined, and some types of quasi-characters separating the elements of superconformal semigroups are introduced. The need for similar constructions in other supersymmetric and superquantum models is pointed out.
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